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Modulform.bib
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Modulform.bib
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@article {Al87,
AUTHOR = {Alperin, Roger C.},
TITLE = {An elementary account of {S}elberg's lemma},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. 2e S\'erie},
VOLUME = {33},
YEAR = {1987},
NUMBER = {3-4},
PAGES = {269--273},
ISSN = {0013-8584},
MRCLASS = {20H20},
MRNUMBER = {925989},
MRREVIEWER = {A. E. Zalesski\u\i },
}
@article {AL70,
AUTHOR = {Atkin, A. O. L. and Lehner, J.},
TITLE = {Hecke operators on {$\Gamma _{0}(m)$}},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {185},
YEAR = {1970},
PAGES = {134--160},
ISSN = {0025-5831},
MRCLASS = {10.20},
MRNUMBER = {0268123},
MRREVIEWER = {R. A. Rankin},
URL = {https://doi.org/10.1007/BF01359701},
}
@book {AM04,
AUTHOR = {Adem, Alejandro and Milgram, R. James},
TITLE = {Cohomology of finite groups},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {309},
EDITION = {Second},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2004},
PAGES = {viii+324},
ISBN = {3-540-20283-8},
MRCLASS = {20J06 (18G99 55R35 55R40)},
MRNUMBER = {2035696},
DOI = {10.1007/978-3-662-06280-7},
}
@book {Bea95,
AUTHOR = {Beardon, Alan F.},
TITLE = {The geometry of discrete groups},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {91},
NOTE = {Corrected reprint of the 1983 original},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {1995},
PAGES = {xii+337},
ISBN = {0-387-90788-2},
MRCLASS = {22E40 (11F06 20H15 30F35 57N10)},
MRNUMBER = {1393195},
}
@article {BMS67,
AUTHOR = {Bass, H. and Milnor, J. and Serre, J.-P.},
TITLE = {Solution of the congruence subgroup problem for {${\rm
SL}_{n}\,(n\geq 3)$} and {${\rm Sp}_{2n}\,(n\geq 2)$}},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {33},
YEAR = {1967},
PAGES = {59--137},
ISSN = {0073-8301},
MRCLASS = {14.50 (20.00)},
MRNUMBER = {0244257},
MRREVIEWER = {R. Steinberg},
}
@book {BGV04,
AUTHOR = {Berline, Nicole and Getzler, Ezra and Vergne, Mich{\`e}le},
TITLE = {Heat kernels and {D}irac operators},
SERIES = {Grundlehren Text Editions},
NOTE = {Corrected reprint of the 1992 original},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2004},
PAGES = {x+363},
ISBN = {3-540-20062-2},
MRCLASS = {58J35 (35K05 35Q40 47G30 58J60)},
MRNUMBER = {2273508 (2007m:58033)},
}
@article {BN81,
AUTHOR = {B\'ayer, Pilar and Neukirch, J\"urgen},
TITLE = {On automorphic forms and {H}odge theory},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {257},
YEAR = {1981},
NUMBER = {2},
PAGES = {137--155},
ISSN = {0025-5831},
MRCLASS = {10D15 (10D45 14C30 14F40)},
MRNUMBER = {634458},
MRREVIEWER = {Steven M. Zucker},
DOI = {10.1007/BF01458280},
}
@article {BCDT,
AUTHOR = {Breuil, Christophe and Conrad, Brian and Diamond, Fred and
Taylor, Richard},
TITLE = {On the modularity of elliptic curves over {$\bold Q$}: wild
3-adic exercises},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {14},
YEAR = {2001},
NUMBER = {4},
PAGES = {843--939},
ISSN = {0894-0347},
MRCLASS = {11G05 (11F80 11G07 14G35)},
MRNUMBER = {1839918},
MRREVIEWER = {Karl Rubin},
DOI = {10.1090/S0894-0347-01-00370-8},
}
@book {Bou68,
AUTHOR = {Bourbaki, N.},
TITLE = {\'{E}l\'ements de math\'ematique. {F}asc. {XXXIV}. {G}roupes
et alg\`ebres de {L}ie. {C}hapitre {IV}: {G}roupes de
{C}oxeter et syst\`emes de {T}its. {C}hapitre {V}: {G}roupes
engendr\'es par des r\'eflexions. {C}hapitre {VI}: syst\`emes
de racines},
SERIES = {Actualit\'es Scientifiques et Industrielles, No. 1337},
PUBLISHER = {Hermann, Paris},
YEAR = {1968},
PAGES = {288 pp.},
MRCLASS = {22.50 (17.00)},
MRNUMBER = {0240238},
MRREVIEWER = {G. B. Seligman},
}
@book {Br94,
AUTHOR = {Brown, Kenneth S.},
TITLE = {Cohomology of groups},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {87},
NOTE = {Corrected reprint of the 1982 original},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {1994},
PAGES = {x+306},
ISBN = {0-387-90688-6},
MRCLASS = {20J05 (20-02)},
MRNUMBER = {1324339},
}
@Book{Bu97,
Author = {Daniel {Bump}},
Title = {{Automorphic forms and representations. Paperback edition.}},
Edition = {Paperback edition},
ISBN = {0-521-65818-7/pbk},
Pages = {xiv + 574},
Year = {1997},
Publisher = {Cambridge: Cambridge University Press},
Language = {English},
MSC2010 = {11Fxx 11-01 22-01 11F70 22E50 22E55 11S37 11F72 11F11 11F12 11R39 22E45 11R37 11R42 11F25 11F27 11F66},
Zbl = {0911.11022}
}
@ARTICLE{Car99,
author = {{Carlton}, D.},
title = {On a Result of Atkin and Lehner},
journal = {ArXiv Mathematics e-prints},
url = {https://arxiv.org/abs/math/9903131},
keywords = {Number Theory, 11F11},
year = {1999},
month = {3},
adsurl = {http://adsabs.harvard.edu/abs/1999math......3131C},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article {Ces18,
AUTHOR = {Česnavičius, Kęstutis},
TITLE = {The {M}anin constant in the semistable case},
JOURNAL = {Compos. Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {154},
YEAR = {2018},
NUMBER = {9},
PAGES = {1889--1920},
ISSN = {0010-437X},
MRCLASS = {11G05 (11G10 11G18 14G35)},
MRNUMBER = {3867287},
DOI = {10.1112/s0010437x18007273},
URL = {https://doi.org/10.1112/s0010437x18007273},
}
@online{Co05,
author = {Conrad, Brian},
title = {Impossibility theorems for elementary integration},
url = {http://www.claymath.org/2005-academy-colloquium-series},
note = {2005 Academy Colloquium Series},
organization = {Clay Mathematics Institute},
year = {2005},
}
@article {Co07,
AUTHOR = {Conrad, Brian},
TITLE = {Arithmetic moduli of generalized elliptic curves},
JOURNAL = {J. Inst. Math. Jussieu},
FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
Journal de l'Institut de Math\'ematiques de Jussieu},
VOLUME = {6},
YEAR = {2007},
NUMBER = {2},
PAGES = {209--278},
ISSN = {1474-7480},
MRCLASS = {11G18 (11F25 14G22)},
MRNUMBER = {2311664},
MRREVIEWER = {Mihran Papikian},
DOI = {10.1017/S1474748006000089},
}
@Book{ChCh,
title = {微分几何讲义},
publisher = {北京: 北京大学出版社},
year = {2001},
author = {{陈省身, 陈维桓}},
ISBN = {978-7-301-05151-1},
note = {第二版}
}
@Book{CL1,
title = {黎曼几何引论 (上)},
publisher = {北京: 北京大学出版社},
year = {2002},
author = {{陈维桓, 李兴校}}
}
@Book{CL2,
title = {黎曼几何引论 (下)},
publisher = {北京: 北京大学出版社},
year = {2004},
author = {{陈维桓, 李兴校}}
}
@Misc{Del71,
Author = {Pierre {Deligne}},
Title = {{Formes modulaires et repr\'esentations $\ell$-adiques.}},
Year = {1971},
Language = {French},
HowPublished = {{S\'emin. Bourbaki 1968/69, No.355, 139-172.}},
MSC2010 = {11F70},
Zbl = {0206.49901}
}
@InProceedings {Del73,
AUTHOR = {Deligne, P.},
TITLE = {Formes modulaires et repr\'esentations de {${\rm GL}(2)$}},
BOOKTITLE = {Modular functions of one variable, {II} ({P}roc. {I}nternat.
{S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)},
PAGES = {55--105. Lecture Notes in Math., Vol. 349},
PUBLISHER = {Springer, Berlin},
YEAR = {1973},
MRCLASS = {10D15 (22E50 22E55)},
MRNUMBER = {0347738},
MRREVIEWER = {Roger E. Howe},
}
@article {Del74,
AUTHOR = {Deligne, Pierre},
TITLE = {La conjecture de {W}eil. {I}},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {43},
YEAR = {1974},
PAGES = {273--307},
ISSN = {0073-8301},
MRCLASS = {14G13},
MRNUMBER = {0340258},
MRREVIEWER = {Nicholas M. Katz},
}
@article {DS74,
AUTHOR = {Deligne, Pierre and Serre, Jean-Pierre},
TITLE = {Formes modulaires de poids {$1$}},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme
S\'erie},
VOLUME = {7},
YEAR = {1974},
PAGES = {507--530 (1975)},
ISSN = {0012-9593},
MRCLASS = {10D15 (12A65)},
MRNUMBER = {0379379},
MRREVIEWER = {Stephen Gelbart},
URL = {http://www.numdam.org/item?id=ASENS_1974_4_7_4_507_0},
}
@incollection {DI95,
AUTHOR = {Diamond, Fred and Im, John},
TITLE = {Modular forms and modular curves},
BOOKTITLE = {Seminar on {F}ermat's {L}ast {T}heorem ({T}oronto, {ON},
1993--1994)},
SERIES = {CMS Conf. Proc.},
VOLUME = {17},
PAGES = {39--133},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {1995},
MRCLASS = {11F11 (11F25 11G05 11G18)},
MRNUMBER = {1357209},
}
@book {Di04,
AUTHOR = {Dimca, Alexandru},
TITLE = {Sheaves in topology},
SERIES = {Universitext},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2004},
PAGES = {xvi+236},
ISBN = {3-540-20665-5},
MRCLASS = {55N30 (14F43 32S60 55N25)},
MRNUMBER = {2050072},
MRREVIEWER = {Ana Jerem\'{i}as L\'{o}pez},
DOI = {10.1007/978-3-642-18868-8},
}
@book {DFN2,
AUTHOR = {Dubrovin, B. A. and Fomenko, A. T. and Novikov, S. P.},
TITLE = {Modern geometry---methods and applications. {P}art {II}},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {104},
NOTE = {The geometry and topology of manifolds,
Translated from the Russian by Robert G. Burns},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {1985},
PAGES = {xv+430},
ISBN = {0-387-96162-3},
MRCLASS = {53-01 (00A69 52-01 58-01 81-01)},
MRNUMBER = {807945},
DOI = {10.1007/978-1-4612-1100-6},
URL = {http://dx.doi.org/10.1007/978-1-4612-1100-6},
}
@incollection {DR73,
AUTHOR = {Deligne, P. and Rapoport, M.},
TITLE = {Les sch\'emas de modules de courbes elliptiques},
BOOKTITLE = {Modular functions of one variable, {II} ({P}roc. {I}nternat.
{S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)},
PAGES = {143--316. Lecture Notes in Math., Vol. 349},
PUBLISHER = {Springer, Berlin},
YEAR = {1973},
MRCLASS = {14K10 (10D05)},
MRNUMBER = {0337993},
MRREVIEWER = {T. Oda},
}
@book {DS05,
AUTHOR = {Diamond, Fred and Shurman, Jerry},
TITLE = {A first course in modular forms},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {228},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {2005},
PAGES = {xvi+436},
ISBN = {0-387-23229-X},
MRCLASS = {11Fxx},
MRNUMBER = {2112196},
MRREVIEWER = {Henri Darmon},
}
@InCollection{El99,
Author = {Noam D. {Elkies}},
Title = {{The Klein quartic in number theory.}},
BookTitle = {{The eightfold way. The beauty of Klein's quartic curve}},
ISBN = {0-521-66066-1/hbk},
Pages = {51--101},
Year = {1999},
Publisher = {Cambridge: Cambridge University Press},
Language = {English},
MSC2010 = {11G30 11G18 11D41},
Zbl = {0991.11032}
}
@book {FGHK18,
AUTHOR = {Fleig, Philipp and Gustafsson, Henrik P. A. and Kleinschmidt,
Axel and Persson, Daniel},
TITLE = {Eisenstein series and automorphic representations},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {176},
NOTE = {With applications in string theory},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2018},
PAGES = {xviii+567},
ISBN = {978-1-107-18992-8},
MRCLASS = {11-02 (11F12 11F25 11F27 11F70 81-01 81T30 83E30)},
MRNUMBER = {3793195},
DOI = {10.1017/9781316995860},
}
@Book{FL14,
title = {拓扑群引论},
publisher = {北京: 科学出版社},
year = {2014},
author = {{黎景辉, 冯绪宁}},
note = {第二版},
isbn = {978-7-03-039779-9}
}
@Book{FLZ06,
title = {群与代数表示引论},
publisher = {中国科学技术大学出版社},
year = {2006},
author = {{冯克勤, 李尚志, 章璞}},
note = {第二版},
isbn = {978-7-312-01882-4}
}
@Book{KF1,
title = {Lectures on the Theory of Elliptic Modular Forms, First Volume},
publisher = {高等教育出版社},
year = {2017},
author = {Felix Klein AND Robert Fricke},
note = {Art Dupre 译, 原出版于 1897 年},
isbn = {978-7-04-047872-3}
}
@Book{KF2,
title = {Lectures on the Theory of Elliptic Modular Forms, Second Volume},
publisher = {高等教育出版社},
year = {2017},
author = {Felix Klein AND Robert Fricke},
note = {Art Dupre 译, 原出版于 1897 年},
isbn = {978-7-04-047837-3}
}
@book {Gra14,
AUTHOR = {Grafakos, Loukas},
TITLE = {Classical {F}ourier analysis},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {249},
EDITION = {Third},
PUBLISHER = {Springer, New York},
YEAR = {2014},
PAGES = {xviii+638},
ISBN = {978-1-4939-1194-3},
MRCLASS = {42-01 (42Bxx)},
MRNUMBER = {3243734},
MRREVIEWER = {Atanas G. Stefanov},
DOI = {10.1007/978-1-4939-1194-3},
}
@Book{GW,
title = {特殊函数概论},
publisher = {北京: 北京大学出版社},
year = {2010},
series = {{中外物理学精品书系 $\cdot$ 经典系列}},
volume = {5},
author = {{王竹溪, 郭敦仁}},
isbn = {978-7-301-20049-0}
}
@book {Hel01,
AUTHOR = {Helgason, Sigurdur},
TITLE = {Differential geometry, {L}ie groups, and symmetric spaces},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {34},
NOTE = {Corrected reprint of the 1978 original},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2001},
PAGES = {xxvi+641},
ISBN = {0-8218-2848-7},
MRCLASS = {53C35 (22E10 22E46 22E60)},
MRNUMBER = {1834454 (2002b:53081)},
}
@article {IS00,
AUTHOR = {Iwaniec, H. and Sarnak, P.},
TITLE = {Perspectives on the analytic theory of {$L$}-functions},
NOTE = {GAFA 2000 (Tel Aviv, 1999)},
JOURNAL = {Geom. Funct. Anal.},
FJOURNAL = {Geometric and Functional Analysis},
YEAR = {2000},
NUMBER = {Special Volume, Part II},
PAGES = {705--741},
ISSN = {1016-443X},
CODEN = {GFANFB},
MRCLASS = {11M26 (11F67 11F70 11F72 11G40)},
MRNUMBER = {1826269},
MRREVIEWER = {Henry H. Kim},
DOI = {10.1007/978-3-0346-0425-3_6},
}
@Book{Jiang,
title = {同调论},
publisher = {北京: 北京大学出版社},
year = {2007},
isbn = {9787301086766},
author = {{姜伯驹}}
}
@article {JS81-1,
AUTHOR = {Jacquet, H. and Shalika, J. A.},
TITLE = {On {E}uler products and the classification of automorphic
representations. {I}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {103},
YEAR = {1981},
NUMBER = {3},
PAGES = {499--558},
ISSN = {0002-9327},
MRCLASS = {10D40 (12A67 22E55)},
MRNUMBER = {618323},
MRREVIEWER = {Freydoon Shahidi},
DOI = {10.2307/2374103},
}
@book {Kat92,
AUTHOR = {Katok, Svetlana},
TITLE = {Fuchsian groups},
SERIES = {Chicago Lectures in Mathematics},
PUBLISHER = {University of Chicago Press, Chicago, IL},
YEAR = {1992},
PAGES = {x+175},
ISBN = {0-226-42583-5},
MRCLASS = {20H10 (30F35)},
MRNUMBER = {1177168},
MRREVIEWER = {I. Kra},
}
@InCollection{Kat10,
Author = {Svetlana {Katok}},
Title = {{Fuchsian groups, geodesic flows on surfaces of constant negative curvature and symbolic coding of geodesics.}},
BookTitle = {{Homogeneous flows, moduli spaces and arithmetic. Proceedings of the Clay Mathematics Institute summer school, Centro di Recerca Mathematica Ennio De Giorgi, Pisa, Italy, June 11--July 6, 2007}},
ISBN = {978-0-8218-4742-8/pbk},
Pages = {243--320},
Year = {2010},
Publisher = {Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute},
Language = {English},
MSC2010 = {37D40 30F35 37B10 53D25},
Zbl = {1243.37029}
}
@article {Ka73,
AUTHOR = {Katz, Nicholas M.},
TITLE = {{$p$}-adic properties of modular schemes and modular forms},
BOOKTITLE = {Modular functions of one variable, {III} ({P}roc. {I}nternat.
{S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)},
PAGES = {69--190. Lecture Notes in Mathematics, Vol. 350},
PUBLISHER = {Springer, Berlin},
YEAR = {1973},
MRCLASS = {10D15 (14D20)},
MRNUMBER = {0447119},
MRREVIEWER = {V. V. Sokurov},
}
@online{Kei,
author = {Keith Conrad},
title = {The Conductor Ideal},
url = {http://www.math.uconn.edu/~kconrad/blurbs/gradnumthy/conductor.pdf},
}
@book {Ko72,
AUTHOR = {Kobayashi, Shoshichi},
TITLE = {Transformation groups in differential geometry},
SERIES = {Classics in Mathematics},
NOTE = {Reprint of the 1972 edition},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {1995},
PAGES = {viii+182},
ISBN = {3-540-58659-8},
MRCLASS = {53C10 (53-02)},
MRNUMBER = {1336823},
}
@book {KM85,
AUTHOR = {Katz, Nicholas M. and Mazur, Barry},
TITLE = {Arithmetic moduli of elliptic curves},
SERIES = {Annals of Mathematics Studies},
VOLUME = {108},
PUBLISHER = {Princeton University Press, Princeton, NJ},
YEAR = {1985},
PAGES = {xiv+514},
ISBN = {0-691-08352-5},
MRCLASS = {11G05 (11F11 14G25 14K15)},
MRNUMBER = {772569},
MRREVIEWER = {Kenneth A. Ribet},
DOI = {10.1515/9781400881710},
}
@article {KV03,
AUTHOR = {Kohel, David R. and Verrill, Helena A.},
TITLE = {Fundamental domains for {S}himura curves},
NOTE = {Les XXII{\`e}mes Journ{\'e}es Arithmetiques (Lille, 2001)},
JOURNAL = {J. Th\'eor. Nombres Bordeaux},
FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
VOLUME = {15},
YEAR = {2003},
NUMBER = {1},
PAGES = {205--222},
ISSN = {1246-7405},
MRCLASS = {11G18},
MRNUMBER = {2019012},
MRREVIEWER = {Hui Xue},
URL = {http://jtnb.cedram.org/item?id=JTNB_2003__15_1_205_0},
}
@Book{LZ,
title = {模曲线导引 (第二版)},
publisher = {北京: 北京大学出版社},
year = {2014},
author = {{黎景辉, 赵春来}},
isbn = {978-7-301-23438-9}
}
@book {Lee13,
AUTHOR = {Lee, John M.},
TITLE = {Introduction to smooth manifolds},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {218},
EDITION = {Second},
PUBLISHER = {Springer, New York},
YEAR = {2013},
PAGES = {xvi+708},
ISBN = {978-1-4419-9981-8},
MRCLASS = {58-01 (53-01 57-01)},
MRNUMBER = {2954043},
}
@Book{LL99,
title = {模形式讲义},
publisher = {北京大学出版社},
year = {1999},
series = {天元研究生数学丛书},
author = {{陆洪文, 李云峰}},
isbn = {7-301-04045-8}
}
@Book{Li1,
title = {代数学方法 (第一卷)},
publisher = {北京: 高等教育出版社},
year = {2019},
series = {现代数学基础丛书},
volume = {67.1},
author = {{李文威}},
isbn = {978-7-04-050725-6}
}
@article {Li75,
AUTHOR = {Li, Wen Ch'ing Winnie},
TITLE = {Newforms and functional equations},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {212},
YEAR = {1975},
PAGES = {285--315},
ISSN = {0025-5831},
MRCLASS = {10D05},
MRNUMBER = {0369263},
MRREVIEWER = {R. A. Rankin},
DOI = {10.1007/BF01344466},
}
@book {Mc01,
AUTHOR = {McCleary, John},
TITLE = {A user's guide to spectral sequences},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {58},
EDITION = {Second},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2001},
PAGES = {xvi+561},
ISBN = {0-521-56759-9},
MRCLASS = {55Txx (18G40)},
MRNUMBER = {1793722},
MRREVIEWER = {Frank Neumann},
}
@book {Mac15,
AUTHOR = {Macdonald, I. G.},
TITLE = {Symmetric functions and {H}all polynomials},
SERIES = {Oxford Classic Texts in the Physical Sciences},
EDITION = {Second},
NOTE = {With contribution by A. V. Zelevinsky and a foreword by
Richard Stanley,
Reprint of the 2008 paperback edition [ MR1354144]},
PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
YEAR = {2015},
PAGES = {xii+475},
ISBN = {978-0-19-873912-8},
MRCLASS = {05E05 (01A75 05-02 20C30 20C33 20K01 33C80 33D80)},
MRNUMBER = {3443860},
}
@misc{milneMF,
author={Milne, James S.},
title={Modular Functions and Modular Forms (v1.30)},
year={2012},
note={可于 \url{www.jmilne.org/math} 下载},
pages={138}
}
@book {Mum76,
AUTHOR = {Mumford, David},
TITLE = {Algebraic geometry. {I}},
NOTE = {Complex projective varieties,
Grundlehren der Mathematischen Wissenschaften, No. 221},
PUBLISHER = {Springer-Verlag, Berlin-New York},
YEAR = {1976},
PAGES = {x+186},
MRCLASS = {14-XX},
MRNUMBER = {0453732},
MRREVIEWER = {Gerhard Pfister},
}
@book {Mum91,
AUTHOR = {Mumford, David},
TITLE = {Tata lectures on theta. {III}},
SERIES = {Modern Birkh\"auser Classics},
NOTE = {With collaboration of Madhav Nori and Peter Norman,
Reprint of the 1991 original},
PUBLISHER = {Birkh\"auser Boston, Inc., Boston, MA},
YEAR = {2007},
PAGES = {viii+202},
ISBN = {978-0-8176-4570-0},
MRCLASS = {14K25 (11F27 14K05 22D10)},
MRNUMBER = {2307769},
DOI = {10.1007/978-0-8176-4578-6},
}
@book {Mum99,
AUTHOR = {Mumford, David},
TITLE = {The {Red Book} of varieties and schemes},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1358},
EDITION = {expanded},
NOTE = {Includes the Michigan lectures (1974) on curves and their
Jacobians,
With contributions by Enrico Arbarello},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {1999},
PAGES = {x+306},
ISBN = {3-540-63293-X},
MRCLASS = {14-01 (14A15 14H40 14H42)},
MRNUMBER = {1748380},
MRREVIEWER = {Arnaud Beauville},
DOI = {10.1007/b62130},
}
@Book{Mei13,
title = {黎曼曲面导引},
publisher = {北京: 北京大学出版社},
year = {2013},
author = {{梅加强}},
isbn = {978-7-301-20053-7}
}
@book {Mi89,
AUTHOR = {Miyake, Toshitsune},
TITLE = {Modular forms},
SERIES = {Springer Monographs in Mathematics},
EDITION = {English},
NOTE = {Translated from the 1976 Japanese original by Yoshitaka Maeda},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2006},
PAGES = {x+335},
ISBN = {978-3-540-29592-1},
MRCLASS = {11F11 (11F25 11F72)},
MRNUMBER = {2194815},
}
@incollection {M07,
AUTHOR = {Michel, Philippe},
TITLE = {Analytic number theory and families of automorphic
{$L$}-functions},
BOOKTITLE = {Automorphic forms and applications},
SERIES = {IAS/Park City Math. Ser.},
VOLUME = {12},
PAGES = {181--295},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {2007},
MRCLASS = {11F66 (11M26 11M41)},
MRNUMBER = {2331346},
MRREVIEWER = {Emmanuel P. Royer},
}
@article {MV10,
AUTHOR = {Michel, Philippe and Venkatesh, Akshay},
TITLE = {The subconvexity problem for {${\rm GL}_2$}},
JOURNAL = {Publ. Math. Inst. Hautes \'Etudes Sci.},
FJOURNAL = {Publications Math\'ematiques. Institut de Hautes \'Etudes
Scientifiques},
NUMBER = {111},
YEAR = {2010},
PAGES = {171--271},
ISSN = {0073-8301},
MRCLASS = {11F67 (11F37 11F70 22E55 58J51)},
MRNUMBER = {2653249},
MRREVIEWER = {Andre Reznikov},
DOI = {10.1007/s10240-010-0025-8},
}
@incollection {MR05,
AUTHOR = {Martin, Fran\c{c}ois and Royer, Emmanuel},
TITLE = {Formes modulaires et p\'eriodes},
BOOKTITLE = {Formes modulaires et transcendance},
SERIES = {S\'emin. Congr.},
VOLUME = {12},
PAGES = {1--117},
PUBLISHER = {Soc. Math. France, Paris},
YEAR = {2005},
MRCLASS = {11F67 (11F11 11F25)},
MRNUMBER = {2186573},
MRREVIEWER = {Dominic A. Lanphier},
}
@article {Ni13,
AUTHOR = {Niles, Andrew},
TITLE = {Moduli of elliptic curves via twisted stable maps},
JOURNAL = {Algebra Number Theory},
FJOURNAL = {Algebra \& Number Theory},
VOLUME = {7},
YEAR = {2013},
NUMBER = {9},
PAGES = {2141--2202},
ISSN = {1937-0652},
MRCLASS = {11G18 (14D23 14H10 14H52 14K10)},
MRNUMBER = {3152011},
MRREVIEWER = {Pete L. Clark},
DOI = {10.2140/ant.2013.7.2141},
URL = {https://doi.org/10.2140/ant.2013.7.2141},
}
@Book{PP,
title = {模形式导引},
publisher = {北京: 北京大学出版社},
year = {2002},
author = {{潘承洞, 潘承彪}}
}
@Article{Ra25,
Author = {T. {Rad\'o}},
Title = {{\"Uber den Begriff der Riemannschen Fl\"ache.}},
FJournal = {{Acta Litterarum ac Scientiarum. Regiae Universitatis Hungaricae Francisco-Josephinae. Sectio Scientiarum Mathematicarum}},
Journal = {{Acta Litt. Sci. Szeged}},
Volume = {2},
Pages = {101--121},
Year = {1925},
Language = {German},
Zbl = {51.0273.01}
}
@article {Rib77,
AUTHOR = {Ribet, Kenneth A.},
TITLE = {Galois representations attached to eigenforms with
{N}ebentypus},
BOOKTITLE = {Modular functions of one variable, {V} ({P}roc. {S}econd
{I}nternat. {C}onf., {U}niv. {B}onn, {B}onn, 1976)},
PAGES = {17--51. Lecture Notes in Math., Vol. 601},
PUBLISHER = {Springer, Berlin},
YEAR = {1977},
MRCLASS = {10D15},
MRNUMBER = {0453647},
MRREVIEWER = {Hiroshi Saito},
}
@book {Ro17,
AUTHOR = {Roy, Ranjan},
TITLE = {Elliptic and modular functions from {G}auss to {D}edekind to
{H}ecke},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2017},
PAGES = {xiii+475},
ISBN = {978-1-107-15938-9},
MRCLASS = {11-01 (01A55 01A60 11Fxx)},
MRNUMBER = {3702031},
MRREVIEWER = {Paul M. Jenkins},
DOI = {10.1017/9781316671504},
}
@incollection {Sai16,
AUTHOR = {Saito, Takeshi},
TITLE = {An introduction to {G}alois representations and modular forms},
BOOKTITLE = {Autour des motifs---\'Ecole d'\'et\'e {F}ranco-{A}siatique de
{G}\'eom\'etrie {A}lg\'ebrique et de {T}h\'eorie des
{N}ombres/{A}sian-{F}rench {S}ummer {S}chool on {A}lgebraic
{G}eometry and {N}umber {T}heory. {V}ol. {III}},
SERIES = {Panor. Synth\`eses},
VOLUME = {49},
PAGES = {1--27},
PUBLISHER = {Soc. Math. France, Paris},
YEAR = {2016},
MRCLASS = {11F80 (11F03 11G18)},
MRNUMBER = {3642467},
MRREVIEWER = {David Hansen},
}
@article {Sch90,
AUTHOR = {Scholl, A. J.},
TITLE = {Motives for modular forms},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {100},
YEAR = {1990},
NUMBER = {2},
PAGES = {419--430},
ISSN = {0020-9910},
MRCLASS = {11F67 (11F80 11G09 14F30)},
MRNUMBER = {1047142},
MRREVIEWER = {M. Ram Murty},
DOI = {10.1007/BF01231194},
}
@book {Se73,
AUTHOR = {Serre, J.-P.},
TITLE = {A course in arithmetic},
NOTE = {Translated from the French,
Graduate Texts in Mathematics, No. 7},
PUBLISHER = {Springer-Verlag, New York-Heidelberg},
YEAR = {1973},
PAGES = {viii+115},
MRCLASS = {12-02 (10CXX 10DXX)},
MRNUMBER = {0344216},
}
@book {Shi71,
AUTHOR = {Shimura, Goro},
TITLE = {Introduction to the arithmetic theory of automorphic
functions},
SERIES = {Publications of the Mathematical Society of Japan},
VOLUME = {11},
NOTE = {Reprint of the 1971 original,
Kan\^o Memorial Lectures, 1},
PUBLISHER = {Princeton University Press, Princeton, NJ},
YEAR = {1994},
PAGES = {xiv+271},
ISBN = {0-691-08092-5},
MRCLASS = {11Fxx (11-02 11G05 11G40)},
MRNUMBER = {1291394},
}
@book {Sil09,
AUTHOR = {Silverman, Joseph H.},
TITLE = {The arithmetic of elliptic curves},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {106},
EDITION = {Second},
PUBLISHER = {Springer, Dordrecht},
YEAR = {2009},
PAGES = {xx+513},
ISBN = {978-0-387-09493-9},
MRCLASS = {11-02 (11G05 11G20 14H52 14K15)},
MRNUMBER = {2514094},
MRREVIEWER = {Vasil\cprime \=I. Andr\=\i \u\i chuk},
DOI = {10.1007/978-0-387-09494-6},
}
@book {St07,
AUTHOR = {Stein, William},
TITLE = {Modular forms, a computational approach},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {79},
NOTE = {With an appendix by Paul E. Gunnells},
PUBLISHER = {American Mathematical Society, Providence, RI},
YEAR = {2007},
PAGES = {xvi+268},
ISBN = {978-0-8218-3960-7},
MRCLASS = {11F11 (11-01 11F67 11Y16 11Y35)},
MRNUMBER = {2289048},
MRREVIEWER = {Imin Chen},
DOI = {10.1090/gsm/079},
}
@Book{Ste17,
title = {复分析},
publisher = {北京: 机械工业出版社},
year = {2017},
series = {普林斯顿分析译丛},
author = {{M. 斯坦恩}},
isbn = {978-7-111-55297-0}
}
@article{Sti01,
ISSN = {00029890, 19300972},
URL = {http://www.jstor.org/stable/2695682},
author = {John Stillwell},
journal = {The American Mathematical Monthly},
number = {1},
pages = {70-76},
publisher = {Mathematical Association of America},
title = {Modular Miracles},
volume = {108},
year = {2001}
}