Sharedwww / tables / biblio.bibOpen in CoCalc
Author: William A. Stein
1
@article{agashe,
2
author="Agash\'{e}, A.",
3
title="On invisible elements of the \protect{Tate-Shafarevich} group",
4
year=1999,
5
pages={369--374},
6
journal="Th\'{e}orie des nombres",
7
volume={328}
8
}
9
10
@book {antwerpiv,
11
TITLE = {Modular functions of one variable. \protect{IV}},
12
BOOKTITLE = {Proceedings of the International Summer School on Modular
13
Functions of One Variable and Arithmetical Applications, RUCA,
14
University of Antwerp, Antwerp, July 17--August 3, 1972},
15
EDITOR = {Birch, B. J. and Kuyk, W.},
16
NOTE = {Lecture Notes in Mathematics, Vol. 476},
17
PUBLISHER = {Springer-Verlag},
18
ADDRESS = {Berlin},
19
YEAR = {1975},
20
PAGES = {iv+151},
21
}
22
23
@incollection{birch:bsd,
24
AUTHOR = {Birch, B.J.},
25
TITLE = {Elliptic curves over \protect{${\mathbf{Q}}$: {A}} progress report},
26
BOOKTITLE = {1969 Number Theory Institute (Proc. Sympos. Pure Math., Vol.
27
XX, State Univ. New York, Stony Brook, N.Y., 1969)},
28
PAGES = {396--400},
29
PUBLISHER = {Amer. Math. Soc.},
30
ADDRESS = {Providence, R.I.},
31
YEAR = {1971}
32
}
33
34
@article {boston-lenstra-ribet,
35
AUTHOR = {Boston, N. and Lenstra, H.W., Jr. and Ribet, K.A.},
36
TITLE = {Quotients of group rings arising from two-dimensional
37
representations},
38
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
39
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
40
Math\'ematique},
41
VOLUME = {312},
42
YEAR = {1991},
43
NUMBER = {4},
44
PAGES = {323--328},
45
ISSN = {0764-4442},
46
CODEN = {CASMEI},
47
}
48
49
@book{buhler-thesis,
50
AUTHOR = {Buhler, Joe P.},
51
TITLE = {Icosahedral \protect{G}alois representations},
52
NOTE = {Lecture Notes in Mathematics, Vol. 654},
53
PUBLISHER = {Springer-Verlag},
54
ADDRESS = {Berlin},
55
YEAR = {1978},
56
PAGES = {ii+143},
57
ISBN = {3-540-08844-X},
58
}
59
60
@article{atkin-lehner,
61
AUTHOR = {Atkin, A. O. L. and Lehner, J.},
62
TITLE = {Hecke operators on \protect{$\Gamma \sb{0}(m)$}},
63
JOURNAL = {Math. Ann.},
64
VOLUME = {185},
65
YEAR = {1970},
66
PAGES = {134--160},
67
}
68
69
70
71
@article{brueggeman:nonexistence,
72
author = {Brueggeman, S.},
73
title = {The non-existence of certain \protect{Galois} extensions
74
unramified outside 5},
75
journal = {Journal of Number Theory},
76
volume = {75},
77
date = {1999},
78
pages = {47--52}
79
}
80
81
@article{brumer:rank,
82
AUTHOR = {Brumer, A.},
83
TITLE = {The rank of \protect{${J}\sb 0({N})$}},
84
NOTE = {Columbia University Number Theory Seminar (New York, 1992)},
85
JOURNAL = {Ast\'erisque},
86
FJOURNAL = {Ast\'erisque},
87
NUMBER = {228},
88
YEAR = {1995},
89
PAGES = {3, 41--68},
90
ISSN = {0303-1179},
91
}
92
93
@incollection {cassels:global,
94
AUTHOR = {Cassels, J. W. S.},
95
TITLE = {Global fields},
96
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
97
1965)},
98
PAGES = {42--84},
99
PUBLISHER = {Thompson, Washington, D.C.},
100
YEAR = {1967},
101
}
102
103
@article{CAREARLY,
104
author="Carayol, H.",
105
title={Sur les \protect{repr\'esentations}
106
\protect{$\ell$-adiques} \protect{associ\'ees}
107
aux formes modulaires de \protect{Hilbert}},
108
journal={Ann. scient. \protect{\'Ec.} Norm. Sup.,
109
\protect{$4^{\rm eb}$ s\'erie}},
110
volume={19},
111
year={1986},
112
pages={409--468}
113
}
114
115
@article{CAR,
116
author={Carayol, H.},
117
title={Sur les \protect{repr\'esentations} galoisiennes
118
modulo \protect{$\ell$ attach\'ees} aux formes modulaires},
119
journal={Duke Math. J.},
120
volume={59},
121
year ={1989},
122
pages ={785--801}
123
}
124
125
@article{coleman:monodromy,
126
author = {Coleman, R.},
127
title = {The monodromy pairing},
128
journal = {Asian Math. Journal},
129
year = {1999}
130
}
131
132
@book {cremona:algs,
133
AUTHOR = {Cremona, J.E.},
134
TITLE = {Algorithms for modular elliptic curves},
135
EDITION = {Second},
136
PUBLISHER = {Cambridge University Press},
137
ADDRESS = {Cambridge},
138
YEAR = {1997},
139
PAGES = {vi+376},
140
ISBN = {0-521-59820-6},
141
}
142
143
144
@article{cremona:gammaone,
145
AUTHOR = {Cremona, J.E.},
146
TITLE = {Modular symbols for \protect{$\Gamma\sb 1({N})$}
147
and elliptic curves with
148
everywhere good reduction},
149
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
150
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
151
Society},
152
VOLUME = {111},
153
YEAR = {1992},
154
NUMBER = {2},
155
PAGES = {199--218},
156
ISSN = {0305-0041},
157
CODEN = {MPCPCO},
158
}
159
160
161
@article{cremona-mazur,
162
author="J.E. Cremona and B. Mazur",
163
title="Visualizing elements in the \protect{Shafarevich-Tate} Group",
164
journal="Proceedings of the Arizona Winter School",
165
year=1998,
166
}
167
168
169
170
@book {curtis-reiner,
171
AUTHOR = {Curtis, C.W. and Reiner, I.},
172
TITLE = {Representation theory of finite groups and associative
173
algebras},
174
NOTE = {Pure and Applied Mathematics, Vol. XI},
175
PUBLISHER = {Interscience Publishers, a division of John Wiley \& Sons, New
176
York-London},
177
YEAR = {1962},
178
PAGES = {xiv+685},
179
}
180
181
@incollection{ddt,
182
AUTHOR = {Darmon, H. and Diamond, F. and Taylor, R.},
183
TITLE = {Fermat's last theorem},
184
BOOKTITLE = {Current developments in mathematics, 1995 (Cambridge, MA)},
185
PAGES = {1--154},
186
PUBLISHER = {Internat. Press},
187
ADDRESS = {Cambridge, MA},
188
YEAR = {1994},
189
}
190
191
192
193
@inproceedings {deligne-rapoport,
194
AUTHOR = {Deligne, P. and Rapoport, M.},
195
TITLE = {Les sch\'emas de modules de courbes elliptiques},
196
BOOKTITLE = {Modular functions of one variable, II (Proc. Internat. Summer
197
School, Univ. Antwerp, Antwerp, 1972)},
198
PAGES = {143--316. Lecture Notes in Math., Vol. 349},
199
PUBLISHER = {Springer},
200
ADDRESS = {Berlin},
201
YEAR = {1973},
202
}
203
204
@article {diamond-kramer,
205
AUTHOR = {Diamond, F. and Kramer, K.},
206
TITLE = {Modularity of a family of elliptic curves},
207
JOURNAL = {Math. Res. Lett.},
208
FJOURNAL = {Mathematical Research Letters},
209
VOLUME = {2},
210
YEAR = {1995},
211
NUMBER = {3},
212
PAGES = {299--304},
213
ISSN = {1073-2780},
214
}
215
216
@article{hijikata:trace,
217
author={Hijikata, H.},
218
title={Explicit formula of the traces
219
of \protect{H}ecke operators for
220
\protect{$\Gamma_0(N)$}},
221
volume={26},
222
year={1974},
223
pages={56--82}
224
}
225
226
@book {katzmazur,
227
AUTHOR = {Katz, N.M. and Mazur, B.},
228
TITLE = {Arithmetic moduli of elliptic curves},
229
PUBLISHER = {Princeton University Press},
230
ADDRESS = {Princeton, N.J.},
231
YEAR = {1985},
232
PAGES = {xiv+514},
233
ISBN = {0-691-08349-5, 0-691-08352-5},
234
}
235
236
237
@incollection {lenstra-smit:explicit,
238
AUTHOR = {de Smit, B. and Lenstra, H.W.,Jr.},
239
TITLE = {Explicit construction of universal deformation rings},
240
BOOKTITLE = {Modular forms and Fermat's last theorem (Boston, MA, 1995)},
241
PAGES = {313--326},
242
PUBLISHER = {Springer},
243
ADDRESS = {New York},
244
YEAR = {1997},
245
}
246
247
@incollection {mazur:deforming,
248
AUTHOR = {Mazur, B.},
249
TITLE = {Deforming \protect{G}alois representations},
250
BOOKTITLE = {Galois groups over \protect{${\bf Q}$} (Berkeley, CA, 1987)},
251
PAGES = {385--437},
252
PUBLISHER = {Springer},
253
ADDRESS = {New York},
254
YEAR = {1989},
255
}
256
257
@article {mazur-ribet,
258
AUTHOR = {Mazur, B. and Ribet, K.A.},
259
TITLE = {Two-dimensional representations in the arithmetic of modular
260
curves},
261
NOTE = {Courbes modulaires et courbes de Shimura (Orsay, 1987/1988)},
262
JOURNAL = {Ast\'erisque},
263
FJOURNAL = {Ast\'erisque},
264
NUMBER = {196-197},
265
YEAR = {1991},
266
PAGES = {6, 215--255 (1992)},
267
ISSN = {0303-1179},
268
}
269
270
@book {MR89b:14029,
271
TITLE = {Arithmetic geometry},
272
EDITOR = {Cornell, G. and Silverman, J.H.},
273
NOTE = {Papers from the conference held at the University of
274
Connecticut, Storrs, Conn., July 30--August 10, 1984},
275
PUBLISHER = {Springer-Verlag},
276
ADDRESS = {New York},
277
YEAR = {1986},
278
PAGES = {xvi+353},
279
ISBN = {0-387-96311-1},
280
}
281
282
@book{milne:duality,
283
author = {Milne, J.S.},
284
TITLE = {Arithmetic duality theorems},
285
PUBLISHER = {Academic Press Inc.},
286
ADDRESS = {Boston, Mass.},
287
YEAR = {1986},
288
PAGES = {x+421},
289
ISBN = {0-12-498040-6},
290
}
291
292
@incollection {milne:abvars,
293
AUTHOR = {Milne, J.S.},
294
TITLE = {Abelian varieties},
295
BOOKTITLE = {Arithmetic geometry (Storrs, Conn., 1984)},
296
PAGES = {103--150},
297
PUBLISHER = {Springer},
298
ADDRESS = {New York},
299
YEAR = {1986},
300
}
301
302
@incollection {rosen:abvars,
303
AUTHOR = {Rosen, M.},
304
TITLE = {Abelian varieties over \protect{${\bf {C}}$}},
305
BOOKTITLE = {Arithmetic geometry (Storrs, Conn., 1984)},
306
PAGES = {79--101},
307
PUBLISHER = {Springer},
308
ADDRESS = {New York},
309
YEAR = {1986},
310
}
311
312
@article{SAITO,
313
author={T. Saito},
314
title={\protect{Modular forms and $p$-adic Hodge theory}},
315
journal={Invent. Math.},
316
volume={129},
317
year={1997},
318
pages={607--620}}
319
320
@book {shimura:intro,
321
AUTHOR = {Shimura, G.},
322
TITLE = {Introduction to the arithmetic theory of automorphic functions},
323
NOTE = {\protect{Kan\^o} Memorial Lectures, No. 1},
324
PUBLISHER = {Publications of the Mathematical Society of Japan, No. 11.
325
Iwanami Shoten, Publishers, Tokyo},
326
YEAR = {1971},
327
PAGES = {xiv+267},
328
}
329
330
@article {wiles:fermat,
331
AUTHOR = {Wiles, A.},
332
TITLE = {Modular elliptic curves and \protect{F}ermat's last theorem},
333
JOURNAL = {Ann. of Math. (2)},
334
FJOURNAL = {Annals of Mathematics. Second Series},
335
VOLUME = {141},
336
YEAR = {1995},
337
NUMBER = {3},
338
PAGES = {443--551},
339
ISSN = {0003-486X},
340
CODEN = {ANMAAH},
341
}
342
343
@article{diamond:modularity,
344
AUTHOR = {Conrad, B. and Diamond, F. and Taylor, R.},
345
TITLE = {Modularity of certain potentially \protect{B}arsotti-\protect{T}ate {G}alois
346
representations},
347
JOURNAL = {J. Amer. Math. Soc.},
348
FJOURNAL = {Journal of the American Mathematical Society},
349
VOLUME = {12},
350
YEAR = {1999},
351
NUMBER = {2},
352
PAGES = {521--567},
353
ISSN = {0894-0347},
354
}
355
356
@inproceedings{merel:1585,
357
AUTHOR = {Merel, L.},
358
TITLE = {Universal \protect{F}ourier expansions of modular forms},
359
BOOKTITLE = {On \protect{A}rtin's conjecture for odd $2$-dimensional representations},
360
PAGES = {59--94},
361
PUBLISHER = {Springer},
362
ADDRESS = {Berlin},
363
YEAR = {1994},
364
}
365
366
@article{buzzard-taylor,
367
author={Taylor, R. and Buzzard, K.},
368
title={Companion forms and weight 1 forms},
369
year={1999},
370
}
371
372
@article{taylor-wiles:fermat,
373
AUTHOR = {Taylor, R. and Wiles, A.},
374
TITLE = {Ring-theoretic properties of certain \protect{H}ecke algebras},
375
JOURNAL = {Ann. of Math. (2)},
376
FJOURNAL = {Annals of Mathematics. Second Series},
377
VOLUME = {141},
378
YEAR = {1995},
379
NUMBER = {3},
380
PAGES = {553--572},
381
ISSN = {0003-486X},
382
CODEN = {ANMAAH},
383
}
384
385
@article{edixhoven:serre,
386
author={Edixhoven, B.},
387
title={NOT DONE. \protect{S}erre's conjectures in \protect{B}oston proceedings}
388
}
389
390
391
@article{edixhoven:eisen,
392
AUTHOR = {Edixhoven, B.},
393
TITLE = {L'action de l'alg\`ebre de \protect{H}ecke sur les groupes de
394
composantes des jacobiennes des courbes modulaires est
395
``{E}isenstein''},
396
NOTE = {Courbes modulaires et courbes de Shimura (Orsay, 1987/1988)},
397
JOURNAL = {Ast\'erisque},
398
FJOURNAL = {Ast\'erisque},
399
NUMBER = {196-197},
400
YEAR = {1991},
401
PAGES = {7--8, 159--170 (1992)},
402
ISSN = {0303-1179},
403
}
404
405
406
@article {edixhoven:weight,
407
AUTHOR = {Edixhoven, B.},
408
TITLE = {The weight in \protect{S}erre's conjectures on modular forms},
409
JOURNAL = {Invent. Math.},
410
FJOURNAL = {Inventiones Mathematicae},
411
VOLUME = {109},
412
YEAR = {1992},
413
NUMBER = {3},
414
PAGES = {563--594},
415
ISSN = {0020-9910},
416
CODEN = {INVMBH},
417
}
418
419
@article {edixcole,
420
AUTHOR = {Coleman, R.F. and Edixhoven, B.},
421
TITLE = {On the semi-simplicity of the ${U}\sb p$-operator on modular
422
forms},
423
JOURNAL = {Math. Ann.},
424
FJOURNAL = {Mathematische Annalen},
425
VOLUME = {310},
426
YEAR = {1998},
427
NUMBER = {1},
428
PAGES = {119--127},
429
ISSN = {0025-5831},
430
CODEN = {MAANA},
431
}
432
433
434
@article {coleman-voloch,
435
AUTHOR = {Coleman, R.F. and Voloch, J.F.},
436
TITLE = {Companion forms and \protect{K}odaira-\protect{S}pencer theory},
437
JOURNAL = {Invent. Math.},
438
FJOURNAL = {Inventiones Mathematicae},
439
VOLUME = {110},
440
YEAR = {1992},
441
NUMBER = {2},
442
PAGES = {263--281},
443
ISSN = {0020-9910},
444
CODEN = {INVMBH},
445
}
446
447
@article{empiracalbsd,
448
AUTHOR = {Flynn, E. V. and Lepr\'{e}vost F. and Schaeffer, E. F.
449
and Stoll, M. and Wetherell J. L.},
450
TITLE = {Empirical Evidence for the Birch and Swinnerton-Dyer
451
Conjectures for Modular Jacobians of Genus 2 Curves},
452
YEAR = {1999},
453
JOURNAL = {Preprint}
454
}
455
456
@inproceedings{frey:boston,
457
AUTHOR = {Frey, G.},
458
TITLE = {On ternary equations of \protect{F}ermat type and relations with
459
elliptic curves},
460
BOOKTITLE = {Modular forms and Fermat's last theorem (Boston, MA, 1995)},
461
PAGES = {527--548},
462
PUBLISHER = {Springer},
463
ADDRESS = {New York},
464
YEAR = {1997},
465
crossref="boston"
466
}
467
468
@incollection{frey-muller,
469
AUTHOR = {Frey, G. and M{\"u}ller, M.},
470
TITLE = {Arithmetic of modular curves and applications},
471
BOOKTITLE = {Algorithmic algebra and number theory (Heidelberg, 1997)},
472
PAGES = {11--48},
473
PUBLISHER = {Springer},
474
ADDRESS = {Berlin},
475
YEAR = {1999}
476
}
477
478
@incollection {frohlich:local,
479
AUTHOR = {Fr{\"o}hlich, A.},
480
TITLE = {Local fields},
481
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
482
1965) },
483
PAGES = {1--41},
484
PUBLISHER = {Thompson, Washington, D.C.},
485
YEAR = {1967},
486
}
487
488
489
@article {gross:tameness,
490
AUTHOR = {Gross, Benedict H.},
491
TITLE = {A tameness criterion for \protect{G}alois
492
representations associated to
493
modular forms (mod \protect{$p$})},
494
JOURNAL = {Duke Math. J.},
495
FJOURNAL = {Duke Mathematical Journal},
496
VOLUME = {61},
497
YEAR = {1990},
498
NUMBER = {2},
499
PAGES = {445--517},
500
ISSN = {0012-7094},
501
CODEN = {DUMJAO},
502
}
503
504
@book {grothendieck:monodromie,
505
author= {Grothendieck, A.},
506
TITLE = {Groupes de monodromie en g\'eom\'etrie alg\'ebrique. {I}},
507
NOTE = {S\'eminaire de G\'eom\'etrie Alg\'ebrique du Bois-Marie
508
1967--1969 (SGA 7 I),
509
Dirig\'e par A. Grothendieck. Avec la collaboration de M.
510
Raynaud et D. S. Rim,
511
Lecture Notes in Mathematics, Vol. 288},
512
PUBLISHER = {Springer-Verlag},
513
ADDRESS = {Berlin},
514
YEAR = {1972},
515
PAGES = {viii+523},
516
}
517
518
519
@book {hartshorne,
520
AUTHOR = {Hartshorne, R.},
521
TITLE = {Algebraic geometry},
522
NOTE = {Graduate Texts in Mathematics, No. 52},
523
PUBLISHER = {Springer-Verlag},
524
ADDRESS = {New York},
525
YEAR = {1977},
526
PAGES = {xvi+496},
527
ISBN = {0-387-90244-9},
528
}
529
530
531
@article {igusa:fibre,
532
AUTHOR = {Igusa, J.},
533
TITLE = {Fibre systems of \protect{J}acobian varieties},
534
JOURNAL = {Amer. J. Math.},
535
VOLUME = {78},
536
YEAR = {1956},
537
PAGES = {171--199},
538
}
539
540
@article {jochnowitz:local,
541
AUTHOR = {Jochnowitz, N.},
542
TITLE = {A study of the local components of the {H}ecke algebra mod $l$},
543
JOURNAL = {Trans. Amer. Math. Soc.},
544
FJOURNAL = {Transactions of the American Mathematical Society},
545
VOLUME = {270},
546
YEAR = {1982},
547
NUMBER = {1},
548
PAGES = {253--267},
549
ISSN = {0002-9947},
550
CODEN = {TAMTAM},
551
}
552
553
@article{kohel:hecke,
554
author="Kohel, D.",
555
title="Hecke Module Structure of Quaternions",
556
year=1998
557
}
558
559
@article{koike:conjtwist,
560
author="Koike, M.",
561
title="On certain abelian varieties obtained from new forms of
562
weight $2$ on \protect{$\Gamma_0(3^4)$ and $\Gamma_0(3^5)$}",
563
journal={Nogoya Math. J.},
564
volume={62},
565
year={1976},
566
pages={29--39}
567
}
568
569
@article{kolyvagin-logachev:totallyreal,
570
author = "Kolyvagin, V.A. and Logachev, D.Y.",
571
title = "Finiteness of \protect{$\Sha$} over totally real fields",
572
journal={Math. USSR Izvestiya},
573
volume ={39},
574
year = {1992},
575
number = {1},
576
pages={829--853}
577
}
578
579
@article{kolyvagin-logachev:finiteness,
580
AUTHOR = {Kolyvagin, V.A. and Logachev, D.Y.},
581
TITLE = {Finiteness of the \protect{S}hafarevich-\protect{T}ate group and the group of
582
rational points for some modular abelian varieties},
583
JOURNAL = {Algebra i Analiz},
584
FJOURNAL = {Algebra i Analiz},
585
VOLUME = {1},
586
YEAR = {1989},
587
NUMBER = {5},
588
PAGES = {171--196},
589
ISSN = {0234-0852},
590
}
591
592
@book {lang:ant,
593
AUTHOR = {Lang, S.},
594
TITLE = {Algebraic number theory},
595
EDITION = {Second},
596
PUBLISHER = {Springer-Verlag},
597
ADDRESS = {New York},
598
YEAR = {1994},
599
PAGES = {xiv+357},
600
ISBN = {0-387-94225-4},
601
}
602
603
@book {miyake,
604
author = {Miyake},
605
title = {Modular forms}
606
}
607
608
@book {lang:modular,
609
AUTHOR = {Lang, S.},
610
TITLE = {Introduction to modular forms},
611
NOTE = {With appendixes by D. Zagier and Walter Feit,
612
Corrected reprint of the 1976 original},
613
PUBLISHER = {Springer-Verlag},
614
ADDRESS = {Berlin},
615
YEAR = {1995},
616
PAGES = {x+261},
617
ISBN = {3-540-07833-9},
618
}
619
620
621
@article {lorenzini:abvarred,
622
AUTHOR = {Lorenzini, D.J.},
623
title = "On the Jacobian of the Modular Curve \protect{$X_0(N)$}",
624
journal = "Preprint"
625
}
626
@article {lorenzini:compgrp,
627
AUTHOR = {Lorenzini, D.J.},
628
TITLE = {On the group of components of a \protect{N}\'eron model},
629
JOURNAL = {J. Reine Angew. Math.},
630
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
631
VOLUME = {445},
632
YEAR = {1993},
633
PAGES = {109--160},
634
ISSN = {0075-4102},
635
CODEN = {JRMAA8},
636
}
637
638
@article{manin:cyclo,
639
AUTHOR = {Manin, J.I.},
640
TITLE = {Cyclotomic fields and modular curves},
641
JOURNAL = {Russian Math. Surveys},
642
VOLUME = {26},
643
YEAR = {1971},
644
NUMBER = {6},
645
PAGES = {7--78},
646
}
647
648
649
@article{mazur:visthree,
650
author="Mazur, B.",
651
title="Visualizing elements of order three in the Shafarevich-Tate group.",
652
year={1999}
653
}
654
655
@ARTICLE{mazur:eisenstein,
656
AUTHOR = {Mazur, B.},
657
TITLE = {Modular curves and the \protect{Eisenstein} ideal},
658
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
659
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
660
Math\'ematiques},
661
NUMBER = {47},
662
YEAR = {1977},
663
PAGES = {33--186 (1978)},
664
ISSN = {0073-8301},
665
CODEN = {PMIHA6},
666
}
667
668
@article{mazur:tower,
669
AUTHOR = {Mazur, B.},
670
TITLE = {Rational points of abelian varieties with values in towers of
671
number fields},
672
JOURNAL = {Invent. Math.},
673
VOLUME = {18},
674
YEAR = {1972},
675
PAGES = {183--266},
676
}
677
678
@article{mazur:rational,
679
AUTHOR = {Mazur, B.},
680
TITLE = {Rational isogenies of prime degree (with an appendix by {D}.
681
{G}oldfeld)},
682
JOURNAL = {Invent. Math.},
683
FJOURNAL = {Inventiones Mathematicae},
684
VOLUME = {44},
685
YEAR = {1978},
686
NUMBER = {2},
687
PAGES = {129--162},
688
ISSN = {0020-9910},
689
CODEN = {INVMBH},
690
}
691
692
693
694
@article{mazur:arizona,
695
author="Mazur, B.",
696
title ="Three lectures about the arithmetic
697
of elliptic curves.",
698
journal="To appear in the proceedings from the Arizona Southwest Geometry Winter School",
699
year=1998
700
}
701
702
@article{mazur:visord3,
703
author="Mazur, B.",
704
title="Visualizing elements of order three
705
in the Shafarevich-Tate group.",
706
journal="preprint",
707
year=1998
708
}
709
710
@article{mestre:graphs,
711
AUTHOR = {Mestre, J.-F.},
712
TITLE = {La m\'ethode des graphes. \protect{Exemples} et applications},
713
JOURNAL = {Proceedings of the international conference on class numbers
714
and fundamental units of algebraic number fields (Katata)},
715
PAGES = {217--242},
716
PUBLISHER = {Nagoya Univ.},
717
ADDRESS = {Nagoya},
718
YEAR = {1986},
719
}
720
721
@book {mumford:abvars,
722
AUTHOR = {Mumford, D.},
723
TITLE = {Abelian varieties},
724
NOTE = {Tata Institute of Fundamental Research Studies in Mathematics,
725
No. 5 },
726
PUBLISHER = {Published for the Tata Institute of Fundamental Research,
727
Bombay},
728
YEAR = {1970},
729
PAGES = {viii+242},
730
}
731
732
@incollection {sturm:cong,
733
AUTHOR = {Sturm, J.},
734
TITLE = {On the congruence of modular forms},
735
BOOKTITLE = {Number theory (New York, 1984--1985)},
736
PAGES = {275--280},
737
PUBLISHER = {Springer},
738
ADDRESS = {Berlin},
739
YEAR = {1987},
740
}
741
742
@proceedings {MR87m:11004,
743
TITLE = {Number theory},
744
BOOKTITLE = {Proceedings of the seminar held at the City University of New
745
York, New York, 1984--1985},
746
EDITOR = {Chudnovsky, D. V. and Chudnovsky, G. V. and Cohn, H. and
747
Nathanson, M. B.},
748
PUBLISHER = {Springer-Verlag},
749
ADDRESS = {Berlin},
750
YEAR = {1987},
751
PAGES = {vi+324},
752
ISBN = {3-540-17669-1},
753
}
754
755
756
@book {mumford:geometric,
757
AUTHOR = {Mumford, D. and Fogarty, J. and Kirwan, F.},
758
TITLE = {Geometric invariant theory},
759
EDITION = {Third},
760
PUBLISHER = {Springer-Verlag},
761
ADDRESS = {Berlin},
762
YEAR = {1994},
763
PAGES = {xiv+292},
764
ISBN = {3-540-56963-4},
765
}
766
767
@inproceedings {queen,
768
AUTHOR = {Queen, C.},
769
TITLE = {The existence of \protect{$p$}-adic \protect{A}belian
770
\protect{${L}$}-functions},
771
BOOKTITLE = {Number theory and algebra},
772
PAGES = {263--288},
773
PUBLISHER = {Academic Press},
774
ADDRESS = {New York},
775
YEAR = {1977},
776
}
777
778
@book {MR56:11675,
779
TITLE = {Number theory and algebra},
780
EDITOR = {Zassenhaus, H.},
781
NOTE = {Collected papers dedicated to Henry B. Mann, Arnold E. Ross,
782
and Olga Taussky-Todd},
783
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]},
784
ADDRESS = {New York},
785
YEAR = {1977},
786
PAGES = {x1vi+393},
787
ISBN = {0-12-776350-3.},
788
}
789
@inproceedings {ribet:galoisattached,
790
AUTHOR = {Ribet, K.A.},
791
TITLE = {Galois representations attached to eigenforms with
792
\protect{N}ebentypus},
793
BOOKTITLE = {Modular functions of one variable, V (Proc. Second Internat.
794
Conf., Univ. Bonn, Bonn, 1976)},
795
PAGES = {17--51. Lecture Notes in Math., Vol. 601},
796
PUBLISHER = {Springer},
797
ADDRESS = {Berlin},
798
YEAR = {1977},
799
}
800
801
@inproceedings {katz:antwerp350,
802
AUTHOR = {Katz, N.M.},
803
TITLE = {$p$-adic properties of modular schemes and modular forms},
804
BOOKTITLE = {Modular functions of one variable, III (Proc. Internat. Summer
805
School, Univ. Antwerp, Antwerp, 1972)},
806
PAGES = {69--190. Lecture Notes in Mathematics, Vol. 350},
807
PUBLISHER = {Springer},
808
ADDRESS = {Berlin},
809
YEAR = {1973},
810
}
811
812
@inproceedings {katz:antwerp601,
813
AUTHOR = {Katz, N.M.},
814
TITLE = {A result on modular forms in characteristic $p$},
815
BOOKTITLE = {Modular functions of one variable, V (Proc. Second Internat.
816
Conf., Univ. Bonn, Bonn, 1976)},
817
PAGES = {53--61. Lecture Notes in Math., Vol. 601},
818
PUBLISHER = {Springer},
819
ADDRESS = {Berlin},
820
YEAR = {1977}
821
}
822
823
@book {slnm601,
824
TITLE = {Modular functions of one variable. {V}},
825
BOOKTITLE = {Proceedings of the Second International Conference, held at the
826
University of Bonn, Bonn, July 2--14, 1976},
827
NOTE = {Edited by J.-P. Serre and D. B. Zagier,
828
Lecture Notes in Mathematics, Vol. 601},
829
PUBLISHER = {Springer-Verlag},
830
ADDRESS = {Berlin},
831
YEAR = {1977},
832
PAGES = {i+294},
833
}
834
835
@article{ribet:mestreletter,
836
author = {Ribet, K.A.},
837
title = {Letter to \protect{M}estre},
838
year = {November, 1987}
839
};
840
841
@article {ribet:modreps,
842
AUTHOR = {Ribet, K.A.},
843
TITLE = {On modular representations of \protect{${\rm {G}al}(\overline{\bf
844
{Q}}/{\bf {Q}})$} arising from modular forms},
845
JOURNAL = {Invent. Math.},
846
FJOURNAL = {Inventiones Mathematicae},
847
VOLUME = {100},
848
YEAR = {1990},
849
NUMBER = {2},
850
PAGES = {431--476},
851
ISSN = {0020-9910},
852
CODEN = {INVMBH},
853
}
854
855
856
@incollection {ribet:report,
857
AUTHOR = {Ribet, K.A.},
858
TITLE = {Report on mod \protect{$l$} representations of
859
\protect{${\rm {G}al}(\overline{\bf{Q}}/{\bf {Q}})$}},
860
BOOKTITLE = {Motives (Seattle, WA, 1991)},
861
PAGES = {639--676},
862
PUBLISHER = {Amer. Math. Soc.},
863
ADDRESS = {Providence, RI},
864
YEAR = {1994},
865
}
866
867
@book {schilling,
868
TITLE = {Arithmetical algebraic geometry. (\protect{P}roceedings of a
869
\protect{C}onference held at \protect{P}urdue
870
\protect{U}niversity, \protect{D}ecember 5--7,
871
1963)},
872
EDITOR = {Schilling, O. F. G.},
873
PUBLISHER = {Harper \& Row Publishers},
874
ADDRESS = {New York},
875
YEAR = {1965},
876
PAGES = {vii+200},
877
}
878
879
@article{TOULOUSE,
880
author={Toulouse},
881
title={\protect{From the \Weil\ conjecture to Fermat's Last
882
Theorem}},
883
journal={\protect{Annales de la Facult\'e
884
des Sciences de l'Universit\'e de Toulouse}},
885
volume={11},
886
year={1990},
887
pages={116--139},
888
}
889
890
@article{serre:congtau,
891
author = {Serre, J.-P.},
892
title = {Une \protect{interpr\'etation}
893
des congruences relatives \protect{\`a}
894
la fonction \protect{$\tau$} de Ramanujan},
895
journal = {\protect{S\'eminaire Delange-Pisot-Poitou}},
896
year = {1967--68},
897
volume = {\protect{${\roman n}^{\roman o}$ 14}},
898
note = {English translation:
899
\protect{\tt http://www.rzuser.uni-heidelberg.de/uhb3/Trans.html}}
900
}
901
902
@book {serre:ladic,
903
AUTHOR = {Serre, J.-P.},
904
TITLE = {Abelian $l$-adic representations and elliptic curves},
905
NOTE = {With the collaboration of Willem Kuyk and John Labute,
906
Revised reprint of the 1968 original},
907
PUBLISHER = {A K Peters Ltd.},
908
ADDRESS = {Wellesley, MA},
909
YEAR = {1998},
910
PAGES = {199},
911
ISBN = {1-56881-077-6},
912
}
913
914
915
@book {serre:linear,
916
AUTHOR = {Serre, Jean-Pierre},
917
TITLE = {Linear representations of finite groups},
918
NOTE = {Translated from the second French edition by Leonard L. Scott,
919
Graduate Texts in Mathematics, Vol. 42},
920
PUBLISHER = {Springer-Verlag},
921
ADDRESS = {New York},
922
YEAR = {1977},
923
PAGES = {x+170},
924
ISBN = {0-387-90190-6},
925
}
926
927
@article{NOMULT,
928
author={Ribet, K.A.},
929
title = {Lowering the levels of modular representations
930
without multiplicity one},
931
journal={International Mathematics Research Notices},
932
year={1991},
933
pages={15--19}
934
}
935
936
937
@incollection {serre:local,
938
AUTHOR = {Serre, J.-P.},
939
TITLE = {Local class field theory},
940
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
941
1965)},
942
PAGES = {128--161},
943
PUBLISHER = {Thompson, Washington, D.C.},
944
YEAR = {1967},
945
}
946
947
@book {serre:alggroups,
948
AUTHOR = {Serre, J.-P.},
949
TITLE = {Algebraic groups and class fields},
950
NOTE = {Translated from the French},
951
PUBLISHER = {Springer-Verlag},
952
ADDRESS = {New York},
953
YEAR = {1988},
954
PAGES = {x+207},
955
ISBN = {0-387-96648-X},
956
}
957
958
@book {serre:arithmetic,
959
AUTHOR = {Serre, J.-P.},
960
TITLE = {A Course in Arithmetic},
961
NOTE = {Translated from the French,
962
Graduate Texts in Mathematics, No. 7},
963
PUBLISHER = {Springer-Verlag},
964
ADDRESS = {New York},
965
YEAR = {1973},
966
PAGES = {viii+115},
967
}
968
969
970
@book {serre:localfields,
971
AUTHOR = {Serre, J.-P.},
972
TITLE = {Local fields},
973
NOTE = {Translated from the French by Marvin Jay Greenberg},
974
PUBLISHER = {Springer-Verlag},
975
ADDRESS = {New York},
976
YEAR = {1979},
977
PAGES = {viii+241},
978
ISBN = {0-387-90424-7},
979
}
980
981
@article{serre:propgal,
982
author = {Serre, J.-P.},
983
title = {\protect{Propri\'{e}t\'{e}s} galoisennes de
984
points d'ordre fini des courbes elliptiques},
985
journal = {Invent. Math.},
986
volume = {15},
987
year = {1972},
988
pages = {259--331}
989
}
990
991
@article{serre:propres,
992
author={Serre, J.-P.},
993
title={Valeurs propres des \protect{op\'{e}rateurs} de
994
\protect{Hecke} modulo \protect{$\ell$}},
995
journal = {\protect{Ast\'{e}risque}},
996
volume = {24--25},
997
year = {1975},
998
pages = {109--117}
999
}
1000
1001
@article {serre:conjectures,
1002
AUTHOR = {Serre, J.-P.},
1003
TITLE = {Sur les repr\'esentations modulaires de degr\'e \protect{$2$}
1004
de \protect{${\rm{G}al}(\overline{\bf {Q}}/{\bf {Q}})$}},
1005
JOURNAL = {Duke Math. J.},
1006
FJOURNAL = {Duke Mathematical Journal},
1007
VOLUME = {54},
1008
YEAR = {1987},
1009
NUMBER = {1},
1010
PAGES = {179--230},
1011
ISSN = {0012-7094},
1012
CODEN = {DUMJAO},
1013
}
1014
1015
1016
@article {serre-tate,
1017
AUTHOR = {Serre, J.-P. and Tate, J.},
1018
TITLE = {Good reduction of abelian varieties},
1019
JOURNAL = {Ann. of Math. (2)},
1020
VOLUME = {88},
1021
YEAR = {1968},
1022
PAGES = {492--517},
1023
}
1024
1025
@article{shimura:factors,
1026
AUTHOR = {Shimura, G.},
1027
TITLE={On the factors of the jacobian variety of a modular function field},
1028
journal={J. Math. Soc. Japan},
1029
volume={25},
1030
number={3},
1031
year={1973},
1032
pages={523--544},
1033
}
1034
1035
@article{shimura:onperiods,
1036
author={Shimura, G.},
1037
title={On the periods of modular forms},
1038
journal={Math. Ann.},
1039
volume={229},
1040
pages={211--221},
1041
year={1977}
1042
}
1043
1044
@article {shimura:surles,
1045
AUTHOR = {Shimura, G.},
1046
TITLE = {Sur les int\'egrales attach\'ees aux formes automorphes},
1047
JOURNAL = {J. Math. Soc. Japan},
1048
VOLUME = {11},
1049
YEAR = {1959},
1050
PAGES = {291--311},
1051
}
1052
1053
@book {silverman:aec2,
1054
AUTHOR = {Silverman, J.H.},
1055
TITLE = {Advanced topics in the arithmetic of elliptic curves},
1056
PUBLISHER = {Springer-Verlag},
1057
ADDRESS = {New York},
1058
YEAR = {1994},
1059
PAGES = {xiv+525},
1060
ISBN = {0-387-94328-5},
1061
}
1062
1063
@book {silverman:aec,
1064
AUTHOR = {Silverman, J.H.},
1065
TITLE = {The arithmetic of elliptic curves},
1066
NOTE = {Corrected reprint of the 1986 original},
1067
PUBLISHER = {Springer-Verlag},
1068
ADDRESS = {New York},
1069
YEAR = {1992},
1070
PAGES = {xii+400},
1071
ISBN = {0-387-96203-4},
1072
}
1073
1074
@article{stein:compgroup,
1075
author = "Stein, W.A.",
1076
title = {Component groups of optimal
1077
quotients of Jacobians},
1078
journal = {Preprint},
1079
year = {1999}
1080
}
1081
1082
@article{stein:congruence,
1083
author = "Stein, W.A.",
1084
title = {Congruences between modular forms},
1085
journal = {Notes},
1086
year = {1999}
1087
}
1088
1089
@article{generatinghecke,
1090
author = "Agashe, A. and Stein, W.A.",
1091
title = {Generating the \protect{H}ecke algebra},
1092
journal = {Preprint},
1093
year = {1999}
1094
}
1095
1096
@article{stein:hecke,
1097
author = "Stein, W.A.",
1098
title = {\protect{{\tt HECKE}: The} modular forms calculator},
1099
journal = {Software (available online)},
1100
year = {1999}
1101
}
1102
1103
@article{stein:vissha,
1104
author = "Stein, W.A.",
1105
title = {Some abelian varieties with visible
1106
Shafarevich-Tate groups},
1107
journal = {Preprint},
1108
year = {1999}
1109
}
1110
1111
@article{stein:periods,
1112
author = "Stein, W.A. and Verrill, H.",
1113
title = {Computing period lattices associated to newforms},
1114
journal = {Preprint},
1115
year = {1999}
1116
}
1117
1118
@article{stein:phd,
1119
author="Stein, W.",
1120
title={Optimal quotients of \protect{$J_0(N)$}},
1121
journal={U.C. Berkeley Ph.D. thesis, in preparation},
1122
year={1999}
1123
}
1124
1125
@article{tate:nonexistence,
1126
author={Tate, J.T.},
1127
title={The non-existence of certain \protect{Galois} extensions
1128
of \protect{$\Q$} unramified outside \protect{$2$}},
1129
journal={Contemporary Math.},
1130
volume={174},
1131
year={1994},
1132
pages={153--156}
1133
}
1134
1135
@incollection {tate:global,
1136
AUTHOR = {Tate, J. T.},
1137
TITLE = {Global class field theory},
1138
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
1139
1965)},
1140
PAGES = {162--203},
1141
PUBLISHER = {Thompson, Washington, D.C.},
1142
YEAR = {1967},
1143
}
1144
1145
1146
@Comment {should be V\'{e}lu but this causes problems.}
1147
@inproceedings {velu:groupes,
1148
AUTHOR = {Velu, J.},
1149
TITLE = {Groupes de \protect{G}alois
1150
attach\'es aux points d'ordre fini des
1151
courbes elliptiques sur un corps de
1152
nombres, d'apr\`es \protect{J}.
1153
\protect{P}. \protect{S}erre},
1154
BOOKTITLE = {S\'eminaire de Th\'eorie des Nombres, 1971--1972 (Univ.
1155
Bordeaux I, Talence), Exp. No. 30},
1156
PAGES = {12},
1157
PUBLISHER = {Lab. Th\'eorie des Nombres, Centre Nat. Recherche Sci.,
1158
Talence},
1159
YEAR = {1972},
1160
}
1161
1162
1163
1164
@book {MR52:8007,
1165
TITLE = {S\'eminaire de {T}h\'eorie des {N}ombres. 1971--1972},
1166
NOTE = {Tenu \`a l'Universit\'e de Bordeaux I, Talence, ann\'ee
1167
universitaire 1971--1972},
1168
PUBLISHER = {Laboratoire de Th\'eorie des Nombres, Centre National de
1169
Recherche Scientifique, Talence},
1170
YEAR = {1972},
1171
PAGES = {224 pp. (not consecutively paged)},
1172
}
1173
1174
@article{diamond:refined,
1175
author={Diamond, F.},
1176
title={NOT DONE. The refined conjecture of Serre}
1177
}
1178
1179
@article{diamond-im,
1180
AUTHOR = {Diamond, F. and Im, J.},
1181
TITLE = {Modular forms and modular curves},
1182
BOOKTITLE = {Seminar on Fermat's Last Theorem (Toronto, ON, 1993--1994)},
1183
PAGES = {39--133},
1184
PUBLISHER = {Amer. Math. Soc.},
1185
ADDRESS = {Providence, RI},
1186
YEAR = {1995},
1187
}
1188
1189
@book {MR96f:11004,
1190
TITLE = {Seminar on \protect{F}ermat's \protect{L}ast \protect{T}heorem},
1191
EDITOR = {Murty, V. Kumar},
1192
NOTE = {Papers from the seminar held at the Fields Institute for
1193
Research in Mathematical Sciences, Toronto, Ontario,
1194
1993--1994},
1195
PUBLISHER = {Published by the American Mathematical Society, Providence, RI},
1196
YEAR = {1995},
1197
PAGES = {x+265},
1198
ISBN = {0-8218-0313-1},
1199
}
1200
1201
1202
1203
@proceedings{boston,
1204
TITLE = {Modular forms and \protect{F}ermat's last theorem},
1205
EDITOR = {Cornell, G. and Silverman, J.H. and Stevens, G.},
1206
NOTE = {Papers from the Instructional Conference on Number Theory and
1207
Arithmetic Geometry held at Boston University, Boston, MA,
1208
August 9--18, 1995},
1209
PUBLISHER = {Springer-Verlag},
1210
ADDRESS = {New York},
1211
YEAR = {1997},
1212
PAGES = {xx+582},
1213
ISBN = {0-387-94609-8},
1214
}
1215
1216
@article{deligne:ladic,
1217
author = {Deligne, P.},
1218
title={Formes modulaires et \protect{repr\'{e}sentations $\ell$-adiques.}},
1219
NOTE = {Lecture Notes in Mathematics, Vol. 179},
1220
PUBLISHER = {Springer-Verlag},
1221
booktitle = {\protect{S\'{e}m.} Bourbaki no. 355, 1968/69},
1222
ADDRESS = {Berlin and New York},
1223
year = {1971},
1224
pages = {139--172}
1225
}
1226
1227
@book {MR48:8389,
1228
TITLE = {Modular functions of one variable. {I}{I}},
1229
BOOKTITLE = {Proceedings of the International Summer School, University of
1230
Antwerp, RUCA, July 17--August 3, 1972},
1231
EDITOR = {Deligne, Pierre and Kuyk, Willem},
1232
NOTE = {Lecture Notes in Mathematics, Vol. 349},
1233
PUBLISHER = {Springer-Verlag},
1234
ADDRESS = {Berlin},
1235
YEAR = {1973},
1236
PAGES = {iv+598},
1237
}
1238
1239
@book {MR48:2080,
1240
TITLE = {Modular functions of one variable. {I}{I}{I}},
1241
BOOKTITLE = {Proceedings of the International Summer School, University of
1242
Antwerp, RUCA, July 17--August 3, 1972},
1243
EDITOR = {Kuyk, Willem and Serre, J.-P.},
1244
NOTE = {Lecture Notes in Mathematics, Vol. 350},
1245
PUBLISHER = {Springer-Verlag},
1246
ADDRESS = {Berlin},
1247
YEAR = {1973},
1248
PAGES = {iv+350},
1249
}
1250
1251
@article{ntl,
1252
title = {\protect{NTL: Number} theory library},
1253
author = {Shoup, V.},
1254
}
1255
1256
@article{lidia,
1257
title = {\protect{LiDIA: C++} number theory library},
1258
author = {Buchmann, J. and others}
1259
}
1260
1261
@article{cremona-luiz,
1262
title = {\protect{C++} matrix classes},
1263
author = {Cremona, J.E. and Luiz F.}
1264
}
1265
1266
@book {freyetal,
1267
TITLE = {On {A}rtin's conjecture for odd 2-dimensional representations},
1268
BOOKTITLE = {On \protect{A}rtin's conjecture for odd $2$-dimensional representations},
1269
EDITOR = {Frey, G.},
1270
PUBLISHER = {Springer-Verlag},
1271
ADDRESS = {Berlin},
1272
YEAR = {1994},
1273
PAGES = {viii+148},
1274
ISBN = {3-540-58387-4},
1275
}
1276
1277
@article{winnie,
1278
author = {Li, Winnie},
1279
title = {Unfinished reference}
1280
}
1281
1282
@article {casselman,
1283
AUTHOR = {Casselman, W.},
1284
TITLE = {On representations of
1285
\protect{${\rm {G}{L}}\sb{2}$} and the arithmetic
1286
of modular curves},
1287
BOOKTITLE = {Modular functions of one variable, II (Proc. Internat. Summer
1288
School, Univ. Antwerp, Antwerp, 1972)},
1289
PAGES = {107--141. Lecture Notes in Math., Vol. 349},
1290
PUBLISHER = {Springer},
1291
ADDRESS = {Berlin},
1292
YEAR = {1973},
1293
}
1294
1295
1296
@proceedings {cassels-frohlich,
1297
TITLE = {Algebraic number theory},
1298
BOOKTITLE = {Proceedings of the instructional conference held at the
1299
University of Sussex, Brighton, September 1--17, 1965},
1300
EDITOR = {Cassels, J. W. S. and Fr{\"o}hlich, A.},
1301
NOTE = {Reprint of the 1967 original},
1302
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
1303
ADDRESS = {London},
1304
YEAR = {1986},
1305
PAGES = {xviii+366},
1306
ISBN = {0-12-163251-2},
1307
}