diff --git a/src/v1/database_admin_client.ts b/src/v1/database_admin_client.ts
index dd5d214e5..20fbdc076 100644
--- a/src/v1/database_admin_client.ts
+++ b/src/v1/database_admin_client.ts
@@ -605,7 +605,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.database.v1.Database|Database}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getDatabase(
@@ -744,7 +744,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.protobuf.Empty|Empty}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   dropDatabase(
@@ -883,7 +883,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.database.v1.GetDatabaseDdlResponse|GetDatabaseDdlResponse}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getDatabaseDdl(
@@ -1042,7 +1042,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.iam.v1.Policy|Policy}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   setIamPolicy(
@@ -1175,7 +1175,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.iam.v1.Policy|Policy}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getIamPolicy(
@@ -1312,7 +1312,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.iam.v1.TestIamPermissionsResponse|TestIamPermissionsResponse}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   testIamPermissions(
@@ -1437,7 +1437,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.database.v1.Backup|Backup}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getBackup(
@@ -1579,7 +1579,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.database.v1.Backup|Backup}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   updateBackup(
@@ -1717,7 +1717,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.protobuf.Empty|Empty}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   deleteBackup(
@@ -1862,7 +1862,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.database.v1.AddSplitPointsResponse|AddSplitPointsResponse}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   addSplitPoints(
@@ -2009,7 +2009,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.database.v1.BackupSchedule|BackupSchedule}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   createBackupSchedule(
@@ -2152,7 +2152,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.database.v1.BackupSchedule|BackupSchedule}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getBackupSchedule(
@@ -2301,7 +2301,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.database.v1.BackupSchedule|BackupSchedule}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   updateBackupSchedule(
@@ -2444,7 +2444,7 @@ export class DatabaseAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.protobuf.Empty|Empty}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   deleteBackupSchedule(
@@ -2775,7 +2775,7 @@ export class DatabaseAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   createDatabase(
@@ -2900,7 +2900,7 @@ export class DatabaseAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkCreateDatabaseProgress(
@@ -2980,7 +2980,7 @@ export class DatabaseAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   updateDatabase(
@@ -3105,7 +3105,7 @@ export class DatabaseAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkUpdateDatabaseProgress(
@@ -3195,7 +3195,7 @@ export class DatabaseAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   updateDatabaseDdl(
@@ -3320,7 +3320,7 @@ export class DatabaseAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkUpdateDatabaseDdlProgress(
@@ -3388,7 +3388,7 @@ export class DatabaseAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   createBackup(
@@ -3513,7 +3513,7 @@ export class DatabaseAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkCreateBackupProgress(
@@ -3589,7 +3589,7 @@ export class DatabaseAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   copyBackup(
@@ -3714,7 +3714,7 @@ export class DatabaseAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkCopyBackupProgress(
@@ -3789,7 +3789,7 @@ export class DatabaseAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   restoreDatabase(
@@ -3914,7 +3914,7 @@ export class DatabaseAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkRestoreDatabaseProgress(
@@ -3966,7 +3966,7 @@ export class DatabaseAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listDatabasesAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listDatabases(
@@ -4095,7 +4095,7 @@ export class DatabaseAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listDatabasesAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listDatabasesStream(
@@ -4147,7 +4147,7 @@ export class DatabaseAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.spanner.admin.database.v1.Database|Database}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listDatabasesAsync(
@@ -4243,7 +4243,7 @@ export class DatabaseAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listBackupsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listBackups(
@@ -4414,7 +4414,7 @@ export class DatabaseAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listBackupsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listBackupsStream(
@@ -4508,7 +4508,7 @@ export class DatabaseAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.spanner.admin.database.v1.Backup|Backup}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listBackupsAsync(
@@ -4614,7 +4614,7 @@ export class DatabaseAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listDatabaseOperationsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listDatabaseOperations(
@@ -4790,7 +4790,7 @@ export class DatabaseAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listDatabaseOperationsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listDatabaseOperationsStream(
@@ -4889,7 +4889,7 @@ export class DatabaseAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.longrunning.Operation|Operation}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listDatabaseOperationsAsync(
@@ -5022,7 +5022,7 @@ export class DatabaseAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listBackupOperationsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listBackupOperations(
@@ -5223,7 +5223,7 @@ export class DatabaseAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listBackupOperationsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listBackupOperationsStream(
@@ -5347,7 +5347,7 @@ export class DatabaseAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.longrunning.Operation|Operation}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listBackupOperationsAsync(
@@ -5400,7 +5400,7 @@ export class DatabaseAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listDatabaseRolesAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listDatabaseRoles(
@@ -5530,7 +5530,7 @@ export class DatabaseAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listDatabaseRolesAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listDatabaseRolesStream(
@@ -5583,7 +5583,7 @@ export class DatabaseAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.spanner.admin.database.v1.DatabaseRole|DatabaseRole}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listDatabaseRolesAsync(
@@ -5637,7 +5637,7 @@ export class DatabaseAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listBackupSchedulesAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listBackupSchedules(
@@ -5768,7 +5768,7 @@ export class DatabaseAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listBackupSchedulesAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listBackupSchedulesStream(
@@ -5822,7 +5822,7 @@ export class DatabaseAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.spanner.admin.database.v1.BackupSchedule|BackupSchedule}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listBackupSchedulesAsync(
diff --git a/src/v1/instance_admin_client.ts b/src/v1/instance_admin_client.ts
index f41a235c7..04183e638 100644
--- a/src/v1/instance_admin_client.ts
+++ b/src/v1/instance_admin_client.ts
@@ -647,7 +647,7 @@ export class InstanceAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.instance.v1.InstanceConfig|InstanceConfig}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getInstanceConfig(
@@ -808,7 +808,7 @@ export class InstanceAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.protobuf.Empty|Empty}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   deleteInstanceConfig(
@@ -955,7 +955,7 @@ export class InstanceAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.instance.v1.Instance|Instance}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getInstance(
@@ -1101,7 +1101,7 @@ export class InstanceAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.protobuf.Empty|Empty}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   deleteInstance(
@@ -1258,7 +1258,7 @@ export class InstanceAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.iam.v1.Policy|Policy}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   setIamPolicy(
@@ -1388,7 +1388,7 @@ export class InstanceAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.iam.v1.Policy|Policy}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getIamPolicy(
@@ -1521,7 +1521,7 @@ export class InstanceAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.iam.v1.TestIamPermissionsResponse|TestIamPermissionsResponse}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   testIamPermissions(
@@ -1645,7 +1645,7 @@ export class InstanceAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.admin.instance.v1.InstancePartition|InstancePartition}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getInstancePartition(
@@ -1799,7 +1799,7 @@ export class InstanceAdminClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.protobuf.Empty|Empty}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   deleteInstancePartition(
@@ -1998,7 +1998,7 @@ export class InstanceAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   createInstanceConfig(
@@ -2123,7 +2123,7 @@ export class InstanceAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkCreateInstanceConfigProgress(
@@ -2222,7 +2222,7 @@ export class InstanceAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   updateInstanceConfig(
@@ -2347,7 +2347,7 @@ export class InstanceAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkUpdateInstanceConfigProgress(
@@ -2428,7 +2428,7 @@ export class InstanceAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   createInstance(
@@ -2553,7 +2553,7 @@ export class InstanceAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkCreateInstanceProgress(
@@ -2640,7 +2640,7 @@ export class InstanceAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   updateInstance(
@@ -2765,7 +2765,7 @@ export class InstanceAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkUpdateInstanceProgress(
@@ -2851,7 +2851,7 @@ export class InstanceAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   createInstancePartition(
@@ -2976,7 +2976,7 @@ export class InstanceAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkCreateInstancePartitionProgress(
@@ -3068,7 +3068,7 @@ export class InstanceAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   updateInstancePartition(
@@ -3193,7 +3193,7 @@ export class InstanceAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkUpdateInstancePartitionProgress(
@@ -3297,7 +3297,7 @@ export class InstanceAdminClient {
    *   The first element of the array is an object representing
    *   a long running operation. Its `promise()` method returns a promise
    *   you can `await` for.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   moveInstance(
@@ -3422,7 +3422,7 @@ export class InstanceAdminClient {
    *   The operation name that will be passed.
    * @returns {Promise} - The promise which resolves to an object.
    *   The decoded operation object has result and metadata field to get information from.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#long-running-operations | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#long-running-operations | documentation }
    *   for more details and examples.
    */
   async checkMoveInstanceProgress(
@@ -3478,7 +3478,7 @@ export class InstanceAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listInstanceConfigsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstanceConfigs(
@@ -3608,7 +3608,7 @@ export class InstanceAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listInstanceConfigsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstanceConfigsStream(
@@ -3661,7 +3661,7 @@ export class InstanceAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.spanner.admin.instance.v1.InstanceConfig|InstanceConfig}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstanceConfigsAsync(
@@ -3767,7 +3767,7 @@ export class InstanceAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listInstanceConfigOperationsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstanceConfigOperations(
@@ -3940,7 +3940,7 @@ export class InstanceAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listInstanceConfigOperationsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstanceConfigOperationsStream(
@@ -4036,7 +4036,7 @@ export class InstanceAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.longrunning.Operation|Operation}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstanceConfigOperationsAsync(
@@ -4115,7 +4115,7 @@ export class InstanceAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listInstancesAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstances(
@@ -4271,7 +4271,7 @@ export class InstanceAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listInstancesAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstancesStream(
@@ -4350,7 +4350,7 @@ export class InstanceAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.spanner.admin.instance.v1.Instance|Instance}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstancesAsync(
@@ -4411,7 +4411,7 @@ export class InstanceAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listInstancePartitionsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstancePartitions(
@@ -4549,7 +4549,7 @@ export class InstanceAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listInstancePartitionsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstancePartitionsStream(
@@ -4610,7 +4610,7 @@ export class InstanceAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.spanner.admin.instance.v1.InstancePartition|InstancePartition}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstancePartitionsAsync(
@@ -4726,7 +4726,7 @@ export class InstanceAdminClient {
    *   Note that it can affect your quota.
    *   We recommend using `listInstancePartitionOperationsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstancePartitionOperations(
@@ -4906,7 +4906,7 @@ export class InstanceAdminClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listInstancePartitionOperationsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstancePartitionOperationsStream(
@@ -5010,7 +5010,7 @@ export class InstanceAdminClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.longrunning.Operation|Operation}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listInstancePartitionOperationsAsync(
diff --git a/src/v1/spanner_client.ts b/src/v1/spanner_client.ts
index 71a41a11e..457202dfe 100644
--- a/src/v1/spanner_client.ts
+++ b/src/v1/spanner_client.ts
@@ -473,7 +473,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.Session|Session}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   createSession(
@@ -607,7 +607,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.BatchCreateSessionsResponse|BatchCreateSessionsResponse}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   batchCreateSessions(
@@ -735,7 +735,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.Session|Session}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   getSession(
@@ -859,7 +859,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.protobuf.Empty|Empty}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   deleteSession(
@@ -1082,7 +1082,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.ResultSet|ResultSet}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   executeSql(
@@ -1249,7 +1249,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.ExecuteBatchDmlResponse|ExecuteBatchDmlResponse}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   executeBatchDml(
@@ -1453,7 +1453,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.ResultSet|ResultSet}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   read(
@@ -1594,7 +1594,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.Transaction|Transaction}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   beginTransaction(
@@ -1764,7 +1764,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.CommitResponse|CommitResponse}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   commit(
@@ -1896,7 +1896,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.protobuf.Empty|Empty}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   rollback(
@@ -2070,7 +2070,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.PartitionResponse|PartitionResponse}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   partitionQuery(
@@ -2233,7 +2233,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Promise} - The promise which resolves to an array.
    *   The first element of the array is an object representing {@link protos.google.spanner.v1.PartitionResponse|PartitionResponse}.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#regular-methods | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#regular-methods | documentation }
    *   for more details and examples.
    */
   partitionRead(
@@ -2449,7 +2449,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Stream}
    *   An object stream which emits {@link protos.google.spanner.v1.PartialResultSet|PartialResultSet} on 'data' event.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#server-streaming | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#server-streaming | documentation }
    *   for more details and examples.
    */
   executeStreamingSql(
@@ -2555,7 +2555,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Stream}
    *   An object stream which emits {@link protos.google.spanner.v1.PartialResultSet|PartialResultSet} on 'data' event.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#server-streaming | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#server-streaming | documentation }
    *   for more details and examples.
    */
   streamingRead(
@@ -2619,7 +2619,7 @@ export class SpannerClient {
    *   Call options. See {@link https://googleapis.dev/nodejs/google-gax/latest/interfaces/CallOptions.html|CallOptions} for more details.
    * @returns {Stream}
    *   An object stream which emits {@link protos.google.spanner.v1.BatchWriteResponse|BatchWriteResponse} on 'data' event.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#server-streaming | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#server-streaming | documentation }
    *   for more details and examples.
    */
   batchWrite(
@@ -2676,7 +2676,7 @@ export class SpannerClient {
    *   Note that it can affect your quota.
    *   We recommend using `listSessionsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listSessions(
@@ -2805,7 +2805,7 @@ export class SpannerClient {
    *   times as needed. Note that it can affect your quota.
    *   We recommend using `listSessionsAsync()`
    *   method described below for async iteration which you can stop as needed.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listSessionsStream(
@@ -2867,7 +2867,7 @@ export class SpannerClient {
    *   When you iterate the returned iterable, each element will be an object representing
    *   {@link protos.google.spanner.v1.Session|Session}. The API will be called under the hood as needed, once per the page,
    *   so you can stop the iteration when you don't need more results.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#auto-pagination | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#auto-pagination | documentation }
    *   for more details and examples.
    */
   listSessionsAsync(
diff --git a/src/v1/spanner_executor_proxy_client.ts b/src/v1/spanner_executor_proxy_client.ts
index 8f64dbfc8..427cf18d0 100644
--- a/src/v1/spanner_executor_proxy_client.ts
+++ b/src/v1/spanner_executor_proxy_client.ts
@@ -426,7 +426,7 @@ export class SpannerExecutorProxyClient {
    *   An object stream which is both readable and writable. It accepts objects
    *   representing {@link protos.google.spanner.executor.v1.SpannerAsyncActionRequest|SpannerAsyncActionRequest} for write() method, and
    *   will emit objects representing {@link protos.google.spanner.executor.v1.SpannerAsyncActionResponse|SpannerAsyncActionResponse} on 'data' event asynchronously.
-   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/master/client-libraries.md#bi-directional-streaming | documentation }
+   *   Please see the {@link https://github.com/googleapis/gax-nodejs/blob/main/client-libraries.md#bi-directional-streaming | documentation }
    *   for more details and examples.
    * @example <caption>include:samples/generated/v1/spanner_executor_proxy.execute_action_async.js</caption>
    * region_tag:spanner-cloud-executor_v1_generated_SpannerExecutorProxy_ExecuteActionAsync_async