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Author: William A. Stein
1
@article{buzzard-taylor,
2
AUTHOR = {Buzzard, K. and Taylor, R.},
3
TITLE = {Companion forms and weight one forms},
4
JOURNAL = {Ann. of Math. (2)},
5
FJOURNAL = {Annals of Mathematics. Second Series},
6
VOLUME = {149},
7
YEAR = {1999},
8
NUMBER = {3},
9
PAGES = {905--919},
10
ISSN = {0003-486X},
11
CODEN = {ANMAAH},
12
MRCLASS = {11Fxx},
13
MRNUMBER = {1 709 306},
14
}
15
16
17
@proceedings {MR98g:11001,
18
TITLE = {Computational perspectives on number theory},
19
BOOKTITLE = {Proceedings of the conference in honor of A. O. L. Atkin held
20
at the University of Illinois, Chicago, IL, September 1995},
21
EDITOR = {Buell, D. A. and Teitelbaum, J. T.},
22
PUBLISHER = {American Mathematical Society},
23
ADDRESS = {Providence, RI},
24
YEAR = {1998},
25
PAGES = {x+232},
26
ISBN = {0-8218-0880-X},
27
MRCLASS = {11-01 (00B30 11Yxx)},
28
MRNUMBER = {98g:11001},
29
}
30
31
@incollection {birch:atkin,
32
AUTHOR = {Birch, B.},
33
TITLE = {Atkin and the {A}tlas {L}ab},
34
BOOKTITLE = {Proceedings of the conference in honor of
35
A.\thinspace{}O.\thinspace{}L. Atkin held
36
at the University of Illinois, Chicago, IL, September 1995},
37
PAGES = {13--20},
38
PUBLISHER = {Amer. Math. Soc.},
39
ADDRESS = {Providence, RI},
40
YEAR = {1998},
41
MRCLASS = {11-03 (01A60 11F30 11F33)},
42
MRNUMBER = {99c:11002},
43
MRREVR = {V. Kumar Murty},
44
}
45
46
47
@proceedings {MR50:16,
48
TITLE = {S\'eminaire Bourbaki},
49
BOOKTITLE = {S\'eminaire Bourbaki, 24\`eme ann\'ee (1971/1972), Exp. No.
50
414},
51
PUBLISHER = {Springer-Verlag},
52
ADDRESS = {Berlin},
53
YEAR = {1973},
54
PAGES = {iv+361},
55
MRCLASS = {00A10},
56
MRNUMBER = {50 #16},
57
}
58
59
@incollection{mazur:symboles,
60
AUTHOR = {Mazur, B.},
61
TITLE = {Courbes elliptiques et symboles modulaires},
62
BOOKTITLE = {S\'eminaire Bourbaki, 24\`eme ann\'ee (1971/1972), Exp. No.
63
414},
64
PAGES = {277--294. Lecture Notes in Math., Vol. 317},
65
PUBLISHER = {Springer},
66
ADDRESS = {Berlin},
67
YEAR = {1973},
68
MRCLASS = {14K15 (14G25 10D15)},
69
MRNUMBER = {55 #2930},
70
MRREVR = {Jacques Velu},
71
}
72
73
74
75
@article {mazur:arithmetic_values,
76
AUTHOR = {Mazur, B.},
77
TITLE = {On the arithmetic of special values of ${L}$\ functions},
78
JOURNAL = {Invent. Math.},
79
FJOURNAL = {Inventiones Mathematicae},
80
VOLUME = {55},
81
YEAR = {1979},
82
NUMBER = {3},
83
PAGES = {207--240},
84
ISSN = {0020-9910},
85
CODEN = {INVMBH},
86
MRCLASS = {14G10 (10D24 12A70 14G25 14K07)},
87
MRNUMBER = {82e:14033},
88
MRREVR = {V. V. Shokurov},
89
}
90
91
92
@article {hatada:rationality,
93
AUTHOR = {Hatada, K.},
94
TITLE = {Multiplicity one theorem and modular symbols},
95
JOURNAL = {J. Math. Soc. Japan},
96
FJOURNAL = {Journal of the Mathematical Society of Japan},
97
VOLUME = {33},
98
YEAR = {1981},
99
NUMBER = {3},
100
PAGES = {445--470},
101
ISSN = {0025-5645},
102
CODEN = {NISUBC},
103
MRCLASS = {10D12 (12A65)},
104
MRNUMBER = {83d:10030},
105
MRREVR = {Wen Ch'ing Winnie Li},
106
}
107
108
109
@article {sokurov:modsym,
110
AUTHOR = {{\v{S}}okurov, V. V.},
111
TITLE = {Modular symbols of arbitrary weight},
112
JOURNAL = {Funkcional. Anal. i Prilo\v zen.},
113
VOLUME = {10},
114
YEAR = {1976},
115
NUMBER = {1},
116
PAGES = {95--96},
117
MRCLASS = {10D05},
118
MRNUMBER = {55 #269},
119
MRREVR = {K.-B. Gundlach},
120
}
121
122
@article {goldfeld:complexity,
123
AUTHOR = {Goldfeld, D.},
124
TITLE = {On the computational complexity of modular symbols},
125
JOURNAL = {Math. Comp.},
126
FJOURNAL = {Mathematics of Computation},
127
VOLUME = {58},
128
YEAR = {1992},
129
NUMBER = {198},
130
PAGES = {807--814},
131
ISSN = {0025-5718},
132
CODEN = {MCMPAF},
133
MRCLASS = {11F67 (11Y35)},
134
MRNUMBER = {93a:11042},
135
MRREVR = {Glenn Stevens},
136
}
137
138
139
@article{ganz-lario:manin,
140
AUTHOR = {Gonz\'{a}lez, J. and Lario, J-C.},
141
TITLE = {$\mathbf{Q}$-curves and their {M}anin ideals},
142
JOURNAL = {preprint},
143
YEAR = {2000}
144
}
145
146
@article {mazur-sd,
147
AUTHOR = {Mazur, B. and Swinnerton-Dyer, P.},
148
TITLE = {Arithmetic of {W}eil curves},
149
JOURNAL = {Invent. Math.},
150
VOLUME = {25},
151
YEAR = {1974},
152
PAGES = {1--61},
153
MRCLASS = {14G05 (10D05)},
154
MRNUMBER = {50 #7152},
155
MRREVR = {J. S. Milne},
156
}
157
158
159
@article {darmon-merel,
160
AUTHOR = {Darmon, H. and Merel, L.},
161
TITLE = {Winding quotients and some variants of {F}ermat's last theorem},
162
JOURNAL = {J. Reine Angew. Math.},
163
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
164
VOLUME = {490},
165
YEAR = {1997},
166
PAGES = {81--100},
167
ISSN = {0075-4102},
168
CODEN = {JRMAA8},
169
MRCLASS = {11G18 (11D41 11F80 11G05)},
170
MRNUMBER = {98h:11076},
171
MRREVR = {Kenneth Kramer},
172
}
173
174
175
@proceedings {motives,
176
TITLE = {Motives},
177
BOOKTITLE = {Proceedings of the AMS-IMS-SIAM Joint Summer Research
178
Conference held at the University of Washington, Seattle,
179
Washington, July 20--August 2, 1991},
180
EDITOR = {Jannsen, Uwe and Kleiman, Steven and Serre, Jean-Pierre},
181
PUBLISHER = {American Mathematical Society},
182
ADDRESS = {Providence, RI},
183
YEAR = {1994},
184
PAGES = {xiv+747},
185
ISBN = {0-8218-1636-5},
186
MRCLASS = {11-06 (19-06)},
187
MRNUMBER = {94i:11003},
188
}
189
190
@incollection {gross:central,
191
AUTHOR = {Gross, B.\thinspace{}H.},
192
TITLE = {${L}$-functions at the central critical point},
193
BOOKTITLE = {Motives (Seattle, WA, 1991)},
194
PAGES = {527--535},
195
PUBLISHER = {Amer. Math. Soc.},
196
ADDRESS = {Providence, RI},
197
YEAR = {1994},
198
MRCLASS = {11G40 (14G10)},
199
MRNUMBER = {95a:11060},
200
MRREVR = {Jan Nekov{\'a}{\v{r}}},
201
}
202
203
@book {stevens:thesis,
204
AUTHOR = {Stevens, G.},
205
TITLE = {Arithmetic on modular curves},
206
PUBLISHER = {Birkh\"auser Boston Inc.},
207
ADDRESS = {Boston, Mass.},
208
YEAR = {1982},
209
PAGES = {xvii+214},
210
ISBN = {3-7643-3088-0},
211
MRCLASS = {11G40 (11F67 11G30 14G10 14G13)},
212
MRNUMBER = {87b:11050},
213
MRREVR = {Ernst Kani},
214
}
215
216
@book {hellegouarch:invitation,
217
AUTHOR = {Hellegouarch, Y.},
218
TITLE = {Invitation aux math\'ematiques de {F}ermat-{W}iles},
219
PUBLISHER = {Masson},
220
ADDRESS = {Paris},
221
YEAR = {1997},
222
PAGES = {viii+401},
223
ISBN = {2-225-83008-8},
224
MRCLASS = {11-01 (11D41 11F11 11G05 11G18)},
225
MRNUMBER = {99e:11001},
226
MRREVR = {Massimo Bertolini},
227
}
228
229
@book{cime-1997,
230
author="Viola, C.",
231
title="{Arithmetic theory of elliptic curves. Lectures given at the 3rd session of the {C}entro {I}nternazionale {M}atematico {E}stivo \protect{(CIME)}.}",
232
language="English",
233
source="{{L}ecture {N}otes in {M}athematics. 1716. {B}erlin: {S}pringer. viii, 260 p. DM 74.00; oeS 541.00; sFr. 67.50; \sterling 28.50; \$ 52.80 (1999). [ISBN 3-540-66546-3/hbk; ISSN 0075-8434]}",
234
PUBLISHER = {Springer-Verlag},
235
ADDRESS = {Berlin},
236
YEAR = {1997},
237
PAGES = {260}
238
}
239
240
@incollection {darmon-bsd,
241
AUTHOR = {Darmon, H.},
242
TITLE = {Wiles' theorem and the arithmetic of elliptic curves},
243
BOOKTITLE = {Modular forms and Fermat's last theorem (Boston, MA, 1995)},
244
PAGES = {549--569},
245
PUBLISHER = {Springer},
246
ADDRESS = {New York},
247
YEAR = {1997},
248
MRCLASS = {11G40 (11G05)},
249
MRNUMBER = {1 638 495},
250
}
251
252
@article {joshi,
253
AUTHOR = {Joshi, Kirti},
254
TITLE = {Remarks on methods of {F}ontaine and {F}altings},
255
JOURNAL = {Internat. Math. Res. Notices},
256
FJOURNAL = {International Mathematics Research Notices},
257
VOLUME = {1999},
258
NUMBER = {22},
259
PAGES = {1199--1209},
260
ISSN = {1073-7928},
261
MRCLASS = {11Fxx},
262
MRNUMBER = {1 731 472},
263
}
264
265
@incollection {serre:cnrs,
266
AUTHOR = {Serre, Jean-Pierre},
267
TITLE = {Groupes de {L}ie $l$-adiques attach\'es aux courbes
268
elliptiques},
269
BOOKTITLE = {Les Tendances G\'eom. en Alg\'ebre et Th\'eorie des Nombres},
270
PAGES = {239--256},
271
PUBLISHER = {\'Editions du Centre National de la Recherche Scientifique,
272
Paris},
273
YEAR = {1966},
274
MRCLASS = {14.50},
275
MRNUMBER = {36 #1453},
276
MRREVR = {H. Popp},
277
}
278
279
@article {ramakrishna:lift2,
280
AUTHOR = {Ramakrishna, R.},
281
TITLE = {Deforming {G}alois representations and the conjectures
282
of {S}erre and {F}ontaine-{M}azur},
283
JOURNAL = {preprint,
284
\protect{\sf ftp://math.cornell.edu/pub/ravi}},
285
FJOURNAL = {},
286
VOLUME = {},
287
YEAR = {2000},
288
NUMBER = {},
289
PAGES = {},
290
}
291
292
@article {ramakrishna:lifting,
293
AUTHOR = {Ramakrishna, R.},
294
TITLE = {Lifting {G}alois representations},
295
JOURNAL = {Invent. Math.},
296
FJOURNAL = {Inventiones Mathematicae},
297
VOLUME = {138},
298
YEAR = {1999},
299
NUMBER = {3},
300
PAGES = {537--562},
301
ISSN = {0020-9910},
302
CODEN = {INVMBH},
303
MRCLASS = {11Fxx},
304
MRNUMBER = {1 719 819},
305
}
306
307
@article {ramakrishna:deform,
308
AUTHOR = {Ramakrishna, R.},
309
TITLE = {Deforming an even representation},
310
JOURNAL = {Invent. Math.},
311
FJOURNAL = {Inventiones Mathematicae},
312
VOLUME = {132},
313
YEAR = {1998},
314
NUMBER = {3},
315
PAGES = {563--580},
316
ISSN = {0020-9910},
317
CODEN = {INVMBH},
318
MRCLASS = {11R32 (11R34)},
319
MRNUMBER = {99h:11128},
320
MRREVR = {Nigel Boston},
321
}
322
323
324
@book {haberland,
325
AUTHOR = {Haberland, Klaus},
326
TITLE = {Galois cohomology of algebraic number fields},
327
NOTE = {With two appendices by Helmut Koch and Thomas Zink},
328
PUBLISHER = {VEB Deutscher Verlag der Wissenschaften},
329
ADDRESS = {Berlin},
330
YEAR = {1978},
331
PAGES = {145},
332
MRCLASS = {12A60},
333
MRNUMBER = {81i:12009},
334
MRREVR = {Chih-Han Sah},
335
}
336
337
338
339
@article{dummigan:cp,
340
author = {Dummigan, N.},
341
title = {Period ratios of modular forms},
342
journal= {to appear in Math. Annalen}
343
}
344
345
346
@article {cohen-oesterle:dimensions,
347
AUTHOR = {Cohen, H. and Oesterl{\'e}, J.},
348
TITLE = {Dimensions des espaces de formes modulaires},
349
BOOKTITLE = {Modular functions of one variable, VI (Proc. Second Internat.
350
Conf., Univ. Bonn, Bonn, 1976)},
351
PAGES = {69--78. Lecture Notes in Math., Vol. 627},
352
PUBLISHER = {Springer},
353
ADDRESS = {Berlin},
354
YEAR = {1977},
355
MRCLASS = {10D15},
356
MRNUMBER = {57 #12396},
357
MRREVR = {R. A. Rankin},
358
}
359
360
@book{robert:elliptic,
361
AUTHOR = {Robert, A.},
362
TITLE = {Elliptic curves},
363
NOTE = {Notes from postgraduate lectures given in Lausanne 1971/72,
364
Lecture Notes in Mathematics, Vol. 326},
365
PUBLISHER = {Springer-Verlag},
366
ADDRESS = {Berlin},
367
YEAR = {1973},
368
PAGES = {viii+264},
369
MRCLASS = {14K15},
370
MRNUMBER = {50 #4594},
371
MRREVR = {Kuang-yen Shih}
372
}
373
374
@book {dixcohomologie,
375
TITLE = {Dix expos\'es sur la cohomologie des sch\'emas},
376
NOTE = {Advanced Studies in Pure Mathematics, Vol. 3},
377
PUBLISHER = {North-Holland Publishing Co.},
378
ADDRESS = {Amsterdam},
379
YEAR = {1968},
380
PAGES = {vi+386},
381
MRCLASS = {14.55},
382
MRNUMBER = {39 #2777},
383
}
384
385
@incollection {grothendieck:brauer3,
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AUTHOR = {Grothendieck, Alexander},
387
TITLE = {Le groupe de {B}rauer. {I}{I}{I}. {E}xemples et compl\'ements},
388
BOOKTITLE = {Dix Expos\'es sur la Cohomologie des Sch\'emas},
389
PAGES = {88--188},
390
PUBLISHER = {North-Holland},
391
ADDRESS = {Amsterdam},
392
YEAR = {1968},
393
MRCLASS = {14.55},
394
MRNUMBER = {39 #5586c},
395
MRREVR = {J. S. Milne},
396
}
397
@incollection {grothendieck:brauer2,
398
AUTHOR = {Grothendieck, Alexander},
399
TITLE = {Le groupe de {B}rauer. {I}{I}. {T}h\'eorie cohomologique},
400
BOOKTITLE = {Dix Expos\'es sur la Cohomologie des Sch\'emas},
401
PAGES = {67--87},
402
PUBLISHER = {North-Holland},
403
ADDRESS = {Amsterdam},
404
YEAR = {1968},
405
MRCLASS = {14.55},
406
MRNUMBER = {39 #5586b},
407
}
408
@incollection {grothendieck:brauer1,
409
AUTHOR = {Grothendieck, Alexander},
410
TITLE = {Le groupe de {B}rauer. {I}. {A}lg\`ebres d'{A}zumaya et
411
interpr\'etations diverses},
412
BOOKTITLE = {Dix Expos\'es sur la Cohomologie des Sch\'emas},
413
PAGES = {46--66},
414
PUBLISHER = {North-Holland},
415
ADDRESS = {Amsterdam},
416
YEAR = {1968},
417
MRCLASS = {14.55},
418
MRNUMBER = {39 #5586a},
419
}
420
421
@book {eisenbud-harris-2,
422
AUTHOR = {Eisenbud, D. and Harris, J.},
423
TITLE = {{S}chemes, {T}he language of modern algebraic geometry},
424
NOTE = {Graduate Texts in Mathematics, Vol.\ 197},
425
PUBLISHER = {Springer-Verlag},
426
ADDRESS = {Berlin},
427
YEAR = {},
428
PAGES = {}
429
}
430
431
@book {eisenbud-harris,
432
AUTHOR = {Eisenbud, D. and Harris, J.},
433
TITLE = {{S}chemes, {T}he language of modern algebraic geometry},
434
PUBLISHER = {Wadsworth \& Brooks/Cole Advanced Books \& Software},
435
ADDRESS = {Pacific Grove, CA},
436
YEAR = {1992},
437
PAGES = {xii+157},
438
ISBN = {0-534-17606-2; 0-534-17604-6},
439
MRCLASS = {14-01 (14A15)},
440
MRNUMBER = {93k:14001},
441
MRREVR = {Alexey N. Rudakov},
442
}
443
444
445
446
@article {coleman:serre,
447
AUTHOR = {Coleman, R.\thinspace{}F.},
448
TITLE = {Serre's conjecture: {T}he {J}ugentraum of the 20th century},
449
NOTE = {XII School of Algebra, Part I (Portuguese) (Diamantina, 1992)},
450
JOURNAL = {Mat. Contemp.},
451
FJOURNAL = {Matem\'atica Contempor\cflex anea},
452
VOLUME = {6},
453
YEAR = {1994},
454
PAGES = {13--18},
455
ISSN = {0103-9059},
456
MRCLASS = {12F05 (11F03 12F12)},
457
MRNUMBER = {95j:12003},
458
MRREVR = {Henri Darmon},
459
}
460
461
@article {edixhoven:erratum,
462
AUTHOR = {Edixhoven, B.},
463
TITLE = {Erratum and addendum: ``{T}he role of {S}erre's conjecture in
464
the proof of {F}ermat's theorem''},
465
JOURNAL = {Gaz. Math.},
466
FJOURNAL = {Gazette des Math\'ematiciens},
467
NUMBER = {67},
468
YEAR = {1996},
469
PAGES = {19},
470
ISSN = {0224-8999},
471
MRCLASS = {11F33 (11D41 11F80 11G05)},
472
MRNUMBER = {96k:11055b},
473
MRREVR = {Fernando Q. Gouv\^ea},
474
}
475
476
@article {edixhoven:serrerole,
477
AUTHOR = {Edixhoven, B.},
478
TITLE = {Le r\^{o}le de la conjecture de {S}erre dans la
479
d\'emonstration du th\'eor\`eme de {F}ermat},
480
JOURNAL = {Gaz. Math.},
481
FJOURNAL = {Gazette des Math\'ematiciens},
482
NUMBER = {66},
483
YEAR = {1995},
484
PAGES = {25--41},
485
ISSN = {0224-8999},
486
MRCLASS = {11F33 (11D41 11F80 11G05)},
487
MRNUMBER = {96k:11055a},
488
MRREVR = {Fernando Q. Gouv\^ea},
489
}
490
491
492
@article {gouvea-mazur:families,
493
AUTHOR = {Gouv\^ea, F. and Mazur, B.},
494
TITLE = {Families of modular eigenforms},
495
JOURNAL = {Math. Comp.},
496
FJOURNAL = {Mathematics of Computation},
497
VOLUME = {58},
498
YEAR = {1992},
499
NUMBER = {198},
500
PAGES = {793--805},
501
ISSN = {0025-5718},
502
CODEN = {MCMPAF},
503
MRCLASS = {11F33 (11Y35 14G20)},
504
MRNUMBER = {93d:11049},
505
MRREVR = {Bas Edixhoven},
506
}
507
508
@incollection {eigencurve,
509
AUTHOR = {Coleman, R. and Mazur, B.},
510
TITLE = {The eigencurve},
511
BOOKTITLE = {Galois representations in arithmetic algebraic geometry
512
(Durham, 1996)},
513
PAGES = {1--113},
514
PUBLISHER = {Cambridge Univ. Press},
515
ADDRESS = {Cambridge},
516
YEAR = {1998},
517
MRCLASS = {11Fxx (11Gxx)},
518
MRNUMBER = {1 696 469},
519
}
520
521
522
523
@book {eisenbud,
524
AUTHOR = {Eisenbud, D.},
525
TITLE = {Commutative Algebra with a View Toward Algebraic Geometry},
526
PUBLISHER = {Springer-Verlag},
527
ADDRESS = {New York},
528
YEAR = {1995},
529
PAGES = {xvi+785},
530
ISBN = {0-387-94268-8; 0-387-94269-6},
531
MRCLASS = {13-01 (14A05)},
532
MRNUMBER = {97a:13001},
533
MRREVR = {Matthew Miller},
534
}
535
536
@book {cassels-flynn,
537
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.
538
and Flynn, E.\thinspace{}V.},
539
TITLE = {Prolegomena to a middlebrow arithmetic of curves
540
of genus \protect{$2$}},
541
PUBLISHER = {Cambridge University Press},
542
ADDRESS = {Cambridge},
543
YEAR = {1996},
544
PAGES = {xiv+219},
545
ISBN = {0-521-48370-0},
546
MRCLASS = {11G30 (11Y50 14G25)},
547
MRNUMBER = {97i:11071},
548
MRREVR = {Joseph H. Silverman},
549
}
550
551
@book {neronmodels,
552
AUTHOR = {Bosch, S. and L{\"u}tkebohmert, W. and Raynaud, M.},
553
TITLE = {N\'eron models},
554
PUBLISHER = {Springer-Verlag},
555
ADDRESS = {Berlin},
556
YEAR = {1990},
557
PAGES = {x+325},
558
ISBN = {3-540-50587-3},
559
MRCLASS = {14K15 (11G10 14L15)},
560
MRNUMBER = {91i:14034},
561
MRREVR = {J. Milne},
562
}
563
564
565
@article {hida:iwasawa,
566
AUTHOR = {Hida, H.},
567
TITLE = {Iwasawa modules attached to congruences of cusp forms},
568
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
569
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
570
Quatri\`eme S\'erie},
571
VOLUME = {19},
572
YEAR = {1986},
573
NUMBER = {2},
574
PAGES = {231--273},
575
ISSN = {0012-9593},
576
CODEN = {ASENAH},
577
MRCLASS = {11F33 (11G18 11R23)},
578
MRNUMBER = {88i:11023},
579
MRREVR = {Yasutaka Ihara},
580
}
581
582
583
584
@article {hida:invent86,
585
AUTHOR = {Hida, H.},
586
TITLE = {Galois representations into
587
\protect{${\rm {G}{L}}\sb 2({\bf {Z}}\sb
588
p[[{X}]])$} attached to ordinary cusp forms},
589
JOURNAL = {Invent. Math.},
590
FJOURNAL = {Inventiones Mathematicae},
591
VOLUME = {85},
592
YEAR = {1986},
593
NUMBER = {3},
594
PAGES = {545--613},
595
ISSN = {0020-9910},
596
CODEN = {INVMBH},
597
MRCLASS = {11F11 (11F33 11F85 11R23)},
598
MRNUMBER = {87k:11049},
599
MRREVR = {Ernst-Wilhelm Zink},
600
}
601
602
603
@incollection {elkies:heegner,
604
AUTHOR = {Elkies, N.\thinspace{}D.},
605
TITLE = {Heegner point computations},
606
BOOKTITLE = {Algorithmic number theory (Ithaca, NY, 1994)},
607
PAGES = {122--133},
608
PUBLISHER = {Springer},
609
ADDRESS = {Berlin},
610
YEAR = {1994},
611
}
612
@article {scholl:motivesinvent,
613
AUTHOR = {Scholl, A.\thinspace{}J.},
614
TITLE = {Motives for modular forms},
615
JOURNAL = {Invent. Math.},
616
FJOURNAL = {Inventiones Mathematicae},
617
VOLUME = {100},
618
YEAR = {1990},
619
NUMBER = {2},
620
PAGES = {419--430},
621
ISSN = {0020-9910},
622
CODEN = {INVMBH},
623
}
624
@incollection {scholl:kato,
625
author = {Scholl, A.\thinspace{}J.},
626
title = {An introduction to {K}ato's {E}uler systems},
627
booktitle = {Galois Representations in Arithmetic Algebraic Geometry},
628
pages = {379--460},
629
year = {1998},
630
publisher = {Cambridge University Press}
631
}
632
633
@proceedings {lms254,
634
title = {Galois Representations in Arithmetic Algebraic Geometry},
635
booktitle = {Galois Representations in Arithmetic Algebraic Geometry},
636
editor = {Scholl A.\thinspace{}J. and Taylor R.\thinspace{}L.},
637
pages = {493},
638
year = {1998},
639
publisher = {Cambridge University Press}
640
}
641
642
%qa1.h3
643
@article{artin:conjecture,
644
author = {Artin, E.},
645
title = {{\"U}ber eine neue {A}rt von {L}-Reihen},
646
journal={Abh. Math. Sem. Univ. Hamburg},
647
volume ={3},
648
year ={1923 or 1924??? CHECK!},
649
pages ={89--108}
650
}
651
652
@article{artin:conjecture2,
653
author = {Artin, E},
654
title = {Zur {T}heorie der {L}-{R}eihen mit allgemeinen
655
{G}ruppencharakteren},
656
journal={Abh. math. Semin. Univ. Hamburg},
657
volume ={8},
658
year ={1930},
659
pages ={292--306}
660
}
661
662
@article{buzzard-stein:artin,
663
AUTHOR = {Buzzard, K. and Stein, W.\thinspace{}A.},
664
title = {Modularity of some icosahedral {G}alois representations},
665
journal = {in preparation}
666
}
667
668
@proceedings {MR98g:11001,
669
TITLE = {Computational perspectives on number theory},
670
BOOKTITLE = {Proceedings of the conference in honor of A. O. L. Atkin held
671
at the University of Illinois, Chicago, IL, September 1995},
672
EDITOR = {Buell, D. A. and Teitelbaum, J. T.},
673
PUBLISHER = {American Mathematical Society},
674
ADDRESS = {Providence, RI},
675
YEAR = {1998},
676
PAGES = {x+232},
677
ISBN = {0-8218-0880-X},
678
}
679
680
681
@proceedings {MR95j:11119,
682
TITLE = {Algorithmic number theory},
683
BOOKTITLE = {Proceedings of the First International Symposium (ANTS-I) held
684
at Cornell University, Ithaca, New York, May 6--9, 1994},
685
EDITOR = {Adleman, Leonard M. and Huang, Ming-Deh},
686
PUBLISHER = {Springer-Verlag},
687
ADDRESS = {Berlin},
688
YEAR = {1994},
689
PAGES = {x+323},
690
ISBN = {3-540-58691-1},
691
}
692
693
694
695
@incollection {elkies:ffield,
696
AUTHOR = {Elkies, N.\thinspace{}D.},
697
TITLE = {Elliptic and modular curves over finite fields and related
698
computational issues},
699
BOOKTITLE = {Computational perspectives on number theory (Chicago, IL,
700
1995)},
701
PAGES = {21--76},
702
PUBLISHER = {Amer. Math. Soc.},
703
ADDRESS = {Providence, RI},
704
YEAR = {1998},
705
}
706
707
708
709
@article {jones:thesis,
710
author = {Jones, D.\thinspace{}M.},
711
title = {On modular {G}alois representations in characteristic $3$},
712
year = {1998},
713
journal = {U.\thinspace{}C. Berkeley Ph.D. thesis}
714
}
715
716
@article {agashe-stein:manin,
717
AUTHOR = {Agashe, A. and Stein, W.\thinspace{}A.},
718
TITLE = {On the generalized Manin constant for quotients
719
of \protect{$J_0(N)$}},
720
journal = {in preparation}
721
}
722
723
@article {ash-stevens,
724
AUTHOR = {Ash, A. and Stevens, G.},
725
TITLE = {Cohomology of arithmetic groups and congruences between systems
726
of {H}ecke eigenvalues},
727
JOURNAL = {J. Reine Angew. Math.},
728
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
729
VOLUME = {365},
730
YEAR = {1986},
731
PAGES = {192--220},
732
ISSN = {0075-4102},
733
CODEN = {JRMAA8},
734
}
735
736
@article {buzzard:level,
737
author = {Buzzard, K.},
738
title = {On level-lowering for mod 2 representations},
739
journal= {preprint}
740
}
741
742
743
@article {RAMA,
744
author = {Ramakrishna, R.},
745
title = {Lifting {G}alois representations},
746
journal = {preprint}
747
}
748
749
@article {SBTAYLOR,
750
AUTHOR = {Shepherd-Barron, N. I. and Taylor, R.},
751
TITLE = {Mod 2 and mod 5 icosahedral representations},
752
JOURNAL = {J. Amer. Math. Soc.},
753
FJOURNAL = {Journal of the American Mathematical Society},
754
VOLUME = {10},
755
YEAR = {1997},
756
NUMBER = {2},
757
PAGES = {283--298},
758
ISSN = {0894-0347},
759
}
760
761
@article {DOUD,
762
AUTHOR = {Doud, D.},
763
TITLE = {\protect{${S}\sb 4$} and \protect{$\tilde {S}{}\sb 4$}
764
extensions of \protect{${\bf {Q}}$}
765
ramified at only one prime},
766
JOURNAL = {J. Number Theory},
767
FJOURNAL = {Journal of Number Theory},
768
VOLUME = {75},
769
YEAR = {1999},
770
NUMBER = {2},
771
PAGES = {185--197},
772
ISSN = {0022-314X},
773
CODEN = {JNUTA9},
774
}
775
776
777
@proceedings {MR90b:11003,
778
TITLE = {Number theory},
779
BOOKTITLE = {Proceedings of the Fifteenth Journ\'ees Arithm\'etiques held at
780
the University of Ulm, Ulm, September 14--18, 1987},
781
EDITOR = {Schlickewei, H. P. and Wirsing, E.},
782
PUBLISHER = {Springer-Verlag},
783
ADDRESS = {New York},
784
YEAR = {1989},
785
PAGES = {vi+266},
786
ISBN = {0-387-51397-3},
787
}
788
789
@incollection {FREYTWO,
790
AUTHOR = {Frey, G.},
791
TITLE = {Links between solutions of
792
\protect{${A}-{B}={C}$} and elliptic curves},
793
BOOKTITLE = {Number theory (Ulm, 1987)},
794
PAGES = {31--62},
795
PUBLISHER = {Springer},
796
ADDRESS = {New York},
797
YEAR = {1989},
798
}
799
@article {FREYONE,
800
AUTHOR = {Frey, G.},
801
TITLE = {Links between stable elliptic curves and
802
certain {D}iophantine \protect{\nobreak{equations}}},
803
JOURNAL = {Ann. Univ. Sarav. Ser. Math.},
804
FJOURNAL = {Annales Universitatis Saraviensis. Series Mathematicae},
805
VOLUME = {1},
806
YEAR = {1986},
807
NUMBER = {1},
808
PAGES = {iv+40},
809
}
810
811
812
@article {fujiwara,
813
author = {Fujiwara, K.},
814
title = {Level optimization in the totally real case},
815
journal= {in preparation},
816
year = {1999}
817
}
818
819
@article {jarvis:mazur,
820
AUTHOR = {Jarvis, F.},
821
TITLE = {Mazur's principle for totally real fields of odd degree},
822
JOURNAL = {Compositio Math.},
823
FJOURNAL = {Compositio Mathematica},
824
VOLUME = {116},
825
YEAR = {1999},
826
NUMBER = {1},
827
PAGES = {39--79},
828
ISSN = {0010-437X},
829
CODEN = {CMPMAF},
830
}
831
@article {jarvis:level,
832
AUTHOR = {Jarvis, F.},
833
TITLE = {Level lowering for modular mod \protect{$\ell$}
834
representations over totally real fields\-},
835
JOURNAL = {Math. Ann.},
836
FJOURNAL = {Mathematische Annalen},
837
VOLUME = {313},
838
YEAR = {1999},
839
NUMBER = {1},
840
PAGES = {141--160},
841
ISSN = {0025-5831},
842
CODEN = {MAANA},
843
}
844
@article {jarvis:hilbert,
845
AUTHOR = {Jarvis, F.},
846
TITLE = {On \protect{G}alois representations
847
associated to \protect{H}ilbert modular
848
forms},
849
JOURNAL = {J. Reine Angew. Math.},
850
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
851
VOLUME = {491},
852
YEAR = {1997},
853
PAGES = {199--216},
854
ISSN = {0075-4102},
855
CODEN = {JRMAA8},
856
}
857
858
@inproceedings {JPS,
859
AUTHOR = {Serre, J-P.},
860
TITLE = {Congruences et formes modulaires [d'apr\`es
861
{H}.\thinspace{}{P}.\thinspace{}{F}.\
862
{S}winnerton-{D}yer]},
863
BOOKTITLE = {S\'eminaire Bourbaki, 24e ann\'ee (1971/1972), Exp. No. 416},
864
PAGES = {319--338. Lecture Notes in Math., Vol. 317},
865
PUBLISHER = {Springer},
866
ADDRESS = {Berlin},
867
YEAR = {1973},
868
}
869
870
@book {MR50:16,
871
TITLE = {S\'eminaire Bourbaki, 24e ann\'ee (1971/1972), Exp. No. 416},
872
NOTE = {Vol. 1971/1972, 24e ann\'ee: Expos\'es Nos. 400--417,
873
Lecture Notes in Mathematics, Vol. 317},
874
PUBLISHER = {Springer-Verlag},
875
ADDRESS = {Berlin},
876
YEAR = {1973},
877
PAGES = {iv+361},
878
MRCLASS = {00A10},
879
MRNUMBER = {50 #16},
880
}
881
882
@article{agashe,
883
AUTHOR = {Agash\'{e}, A.},
884
TITLE = {On invisible elements of the {T}ate-{S}hafarevich group},
885
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
886
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
887
Math\'ematique},
888
VOLUME = {328},
889
YEAR = {1999},
890
NUMBER = {5},
891
PAGES = {369--374},
892
ISSN = {0764-4442},
893
CODEN = {CASMEI},
894
MRCLASS = {11Gxx},
895
MRNUMBER = {1 678 131},
896
}
897
898
899
@incollection {bloch-kato,
900
AUTHOR = {Bloch, S. and Kato, K.},
901
TITLE = {\protect{${L}$}-functions and
902
\protect{T}amagawa numbers of motives},
903
BOOKTITLE = {The Grothendieck Festschrift, Vol. \protect{I}},
904
PAGES = {333--400},
905
PUBLISHER = {Birkh\"auser Boston},
906
ADDRESS = {Boston, MA},
907
YEAR = {1990},
908
}
909
910
@book {MR91h:00035,
911
TITLE = {The \protect{G}rothendieck
912
\protect{F}estschrift. \protect{V}ol. \protect{I}},
913
EDITOR = {Cartier, P. and Illusie, L. and Katz, N.\thinspace{}M.
914
and Laumon, G. and Manin, Yu. and Ribet, K.\thinspace{}A.},
915
NOTE = {A collection of articles written in honor of the 60th birthday
916
of Alexander Grothendieck},
917
PUBLISHER = {Birkh\"auser Boston Inc.},
918
ADDRESS = {Boston, MA},
919
YEAR = {1990},
920
PAGES = {xx+498},
921
ISBN = {0-8176-3427-4},
922
}
923
924
@book {antwerpiv,
925
TITLE = {Modular functions of one variable. {I}{V}},
926
BOOKTITLE = {Proceedings of the International Summer School on Modular
927
Functions of One Variable and Arithmetical Applications, RUCA,
928
University of Antwerp, Antwerp, July 17--August 3, 1972},
929
EDITOR = {Birch, B.\thinspace{}J. and Kuyk, W.},
930
NOTE = {Lecture Notes in Mathematics, Vol. 476},
931
PUBLISHER = {Springer-Verlag},
932
ADDRESS = {Berlin},
933
YEAR = {1975},
934
PAGES = {iv+151},
935
}
936
937
@incollection{birch:bsd,
938
AUTHOR = {Birch, B.\thinspace{}J.},
939
TITLE = {Elliptic curves over \protect{${\mathbf{Q}}$: {A}} progress report},
940
BOOKTITLE = {1969 Number Theory Institute (Proc. Sympos. Pure Math., Vol.
941
XX, State Univ. New York, Stony Brook, N.Y., 1969)},
942
PAGES = {396--400},
943
PUBLISHER = {Amer. Math. Soc.},
944
ADDRESS = {Providence, R.I.},
945
YEAR = {1971}
946
}
947
948
@article {boston-lenstra-ribet,
949
AUTHOR = {N. Boston and \protect{H.\thinspace{}W. Lenstra, Jr.}
950
and K.\thinspace{}A. Ribet},
951
TITLE = {Quotients of group rings arising from two-dimensional
952
representations},
953
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
954
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
955
Math\'ematique},
956
VOLUME = {312},
957
YEAR = {1991},
958
NUMBER = {4},
959
PAGES = {323--328},
960
ISSN = {0764-4442},
961
CODEN = {CASMEI},
962
}
963
964
@book{buhler:thesis,
965
AUTHOR = {Buhler, J.\thinspace{}P.},
966
TITLE = {Icosahedral \protect{G}alois representations},
967
NOTE = {Lecture Notes in Mathematics, Vol. 654},
968
PUBLISHER = {Springer-Verlag},
969
ADDRESS = {Berlin},
970
YEAR = {1978},
971
PAGES = {ii+143},
972
ISBN = {3-540-08844-X},
973
}
974
975
@article{atkin-lehner,
976
AUTHOR = {Atkin, A.\thinspace{}O.\thinspace{}L. and Lehner, J.},
977
TITLE = {Hecke operators on \protect{$\Gamma \sb{0}(m)$}},
978
JOURNAL = {Math. Ann.},
979
VOLUME = {185},
980
YEAR = {1970},
981
PAGES = {134--160},
982
}
983
984
@article{galbraith,
985
author = {Galbraith, S.\thinspace{}D.},
986
title = {Equations for modular curves},
987
Year = {1996},
988
journal = {Oxford Ph.D. thesis},
989
pages = {91 pp.}
990
}
991
992
@article{BRUE,
993
author = {Brueggeman, S.},
994
title = {The non-existence of certain \protect{Galois} extensions
995
unramified outside 5},
996
journal = {Journal of Number Theory},
997
volume = {75},
998
year = {1999},
999
pages = {47--52}
1000
}
1001
1002
@article{brumer:rank,
1003
AUTHOR = {Brumer, A.},
1004
TITLE = {The rank of \protect{${J}\sb 0({N})$}},
1005
NOTE = {Columbia University Number Theory Seminar (New York, 1992)},
1006
JOURNAL = {Ast\'erisque},
1007
FJOURNAL = {Ast\'erisque},
1008
NUMBER = {228},
1009
YEAR = {1995},
1010
PAGES = {3, 41--68},
1011
ISSN = {0303-1179},
1012
}
1013
1014
@article {cassels:arithmeticIV,
1015
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1016
TITLE = {Arithmetic on curves of genus \protect{$1$}. {I}{V}.
1017
{P}roof of the {H}auptvermutung},
1018
JOURNAL = {J. Reine Angew. Math.},
1019
VOLUME = {211},
1020
YEAR = {1962},
1021
PAGES = {95--112},
1022
}
1023
1024
@article {cassels:arithmeticV,
1025
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1026
TITLE = {Arithmetic on curves of genus 1. {V}. {T}wo counterexamples},
1027
JOURNAL = {J. London Math. Soc.},
1028
VOLUME = {38},
1029
YEAR = {1963},
1030
PAGES = {244--248},
1031
}
1032
1033
@article {cassels:diophantinecurve,
1034
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1035
TITLE = {Diophantine equations with special reference to elliptic
1036
curves},
1037
JOURNAL = {J. London Math. Soc.},
1038
VOLUME = {41},
1039
YEAR = {1966},
1040
PAGES = {193--291},
1041
}
1042
1043
@incollection {cassels:global,
1044
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1045
TITLE = {Global fields},
1046
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
1047
1965)},
1048
PAGES = {42--84},
1049
PUBLISHER = {Thompson, Washington, D.C.},
1050
YEAR = {1967},
1051
}
1052
1053
@article{CAREARLY,
1054
author="Carayol, H.",
1055
title={Sur les \protect{repr\'esentations}
1056
\protect{$\ell$-adiques} \protect{associ\'ees}
1057
aux formes modulaires de \protect{Hilbert}},
1058
journal={Ann. scient. \protect{\'Ec.} Norm. Sup.,
1059
\protect{$4^{\rm eb}$ s\'erie}},
1060
volume={19},
1061
year={1986},
1062
pages={409--468}
1063
}
1064
1065
@article{carayol:modell,
1066
author={Carayol, H.},
1067
title={Sur les \protect{repr\'esentations} galoisiennes
1068
modulo \protect{$\ell$ attach\'ees} aux formes modulaires},
1069
journal={Duke Math. J.},
1070
volume={59},
1071
year ={1989},
1072
pages ={785--801}
1073
}
1074
1075
@article{coleman:monodromy,
1076
author = {Coleman, R.},
1077
title = {The monodromy pairing},
1078
journal = {Asian Math. Journal},
1079
year = {1999}
1080
}
1081
1082
@article{cremona:onlinetables,
1083
author = {Cremona, J.\thinspace{}E.},
1084
title = {Elliptic curves of conductor \protect{$\leq 5300$},\hfill\\
1085
{\tt http://www.maths.nott.ac.uk/personal/jec/ftp/data/}}
1086
}
1087
1088
@book{cremona:algs,
1089
AUTHOR = {Cremona, J.\thinspace{}E.},
1090
TITLE = {Algorithms for modular elliptic curves},
1091
EDITION = {Second},
1092
PUBLISHER = {Cambridge University Press},
1093
ADDRESS = {Cambridge},
1094
YEAR = {1997},
1095
PAGES = {vi+376},
1096
ISBN = {0-521-59820-6},
1097
}
1098
1099
1100
@article {cremona:periods,
1101
AUTHOR = {Cremona, J.\thinspace{}E.},
1102
TITLE = {Computing periods of cusp forms and modular elliptic curves},
1103
JOURNAL = {Experiment. Math.},
1104
FJOURNAL = {Experimental Mathematics},
1105
VOLUME = {6},
1106
YEAR = {1997},
1107
NUMBER = {2},
1108
PAGES = {97--107},
1109
ISSN = {1058-6458},
1110
}
1111
1112
@article {gouvea:ordinary,
1113
AUTHOR = {Gouv\^ea, F.\thinspace{}Q.},
1114
TITLE = {On the ordinary {H}ecke algebra},
1115
JOURNAL = {J. Number Theory},
1116
FJOURNAL = {Journal of Number Theory},
1117
VOLUME = {41},
1118
YEAR = {1992},
1119
NUMBER = {2},
1120
PAGES = {178--198},
1121
ISSN = {0022-314X},
1122
CODEN = {JNUTA9},
1123
}
1124
1125
1126
@article{cremona:gammaone,
1127
AUTHOR = {Cremona, J.\thinspace{}E.},
1128
TITLE = {Modular symbols for \protect{$\Gamma\sb 1({N})$}
1129
and elliptic curves with everywhere good reduction},
1130
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
1131
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
1132
Society},
1133
VOLUME = {111},
1134
YEAR = {1992},
1135
NUMBER = {2},
1136
PAGES = {199--218},
1137
ISSN = {0305-0041},
1138
CODEN = {MPCPCO},
1139
}
1140
1141
1142
@article{cremona-mazur,
1143
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1144
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1145
journal={to appear in Experiment. Math.},
1146
}
1147
1148
1149
1150
@book {curtis-reiner,
1151
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1152
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1153
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1154
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1155
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1156
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1157
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1158
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1159
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1160
1161
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1162
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1163
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1164
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1165
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1167
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1168
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1169
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1170
MRNUMBER = {96h:11048},
1171
MRREVR = {Dipendra Prasad},
1172
}
1173
1174
@incollection{ddt,
1175
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1176
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1177
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1178
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1179
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1180
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1181
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1182
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1183
1184
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1186
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1189
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1190
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1192
1193
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1194
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1195
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1196
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1197
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1198
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1199
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1201
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1202
1203
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1204
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1205
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1206
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1207
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1208
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1209
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1210
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1212
1213
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1214
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1215
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1216
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1217
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1218
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1219
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1220
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1221
1222
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1223
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1224
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1225
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1226
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1227
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1228
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1229
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1230
1231
1232
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1233
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1234
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1235
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1237
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1238
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1239
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1240
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1241
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1242
1243
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1244
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1245
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1246
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1247
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1248
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1249
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1250
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1251
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1252
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1253
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1254
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1255
1256
@inproceedings {serre:antwerp72,
1257
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1258
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1259
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1260
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1261
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1262
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1263
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1264
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1265
MRCLASS = {10D05},
1266
MRNUMBER = {53 #7949a},
1267
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1268
}
1269
1270
1271
@book {MR48:2080,
1272
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1273
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1274
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1275
EDITOR = {Kuyk, Willem and Serre, J.-P.},
1276
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1277
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1278
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1279
YEAR = {1973},
1280
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1281
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1282
MRNUMBER = {48 #2080},
1283
}
1284
1285
% MR52:284,
1286
@article {deligne-serre,
1287
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1288
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1289
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1290
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1292
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1293
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1294
1295
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1308
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1309
title={Explicit formula of the traces
1310
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1311
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1312
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1313
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1314
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1315
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1316
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1317
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1318
1319
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1320
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1321
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1322
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1323
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1327
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1332
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1333
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1341
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1342
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1343
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1344
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1346
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1349
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1350
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1351
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1352
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1353
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1354
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1355
1356
@incollection {mazur:deforming,
1357
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1358
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1359
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1360
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1361
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1362
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1363
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1364
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1365
1366
@article {mazur-ribet,
1367
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1368
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1369
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1370
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1374
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1375
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1376
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1377
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1378
1379
@article {ono:partition,
1380
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1381
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1382
modular \protect{$L$}-functions},
1383
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1384
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1385
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1386
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1388
1389
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1390
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1391
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1392
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1393
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1394
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1395
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1396
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1397
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1398
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1399
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1400
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1402
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1403
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1404
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1405
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1406
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1407
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1409
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1410
1411
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1414
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1426
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1427
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1428
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1430
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1431
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1432
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1433
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1434
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@incollection {rosen:abvars,
1438
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1439
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1440
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1441
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1442
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1443
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1444
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1445
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1446
1447
@article{SAITO,
1448
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1449
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1450
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1457
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1465
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1466
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1467
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1468
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1469
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1470
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1474
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@article {skinner-wiles:ordinary,
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1478
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1487
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1489
1490
@article {wiles:fermat,
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1492
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1505
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1514
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1530
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1531
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1544
@article{merel:cyclo,
1545
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1547
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1548
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1549
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1550
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1551
1552
@inproceedings{merel:1585,
1553
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1554
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1555
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1556
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1567
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1571
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1581
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1595
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1596
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1597
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1599
1600
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1614
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1615
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1617
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1618
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1623
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1629
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1633
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1634
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1638
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1639
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1640
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1641
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1651
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1654
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1655
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1656
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1657
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1658
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1661
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1662
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1664
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1665
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1666
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1667
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1668
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1669
VOLUME = {5},
1670
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1671
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1672
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1674
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1676
1677
@article {edixhoven:weight,
1678
AUTHOR = {Edixhoven, B.},
1679
TITLE = {The weight in \protect{S}erre's conjectures on modular forms},
1680
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1690
@article {jordan-livne:epsilon,
1691
AUTHOR = {Jordan, B.\thinspace{}W. and Livn{\'e}, R.},
1692
TITLE = {Conjecture ``epsilon'' for weight \protect{$k>2$}},
1693
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
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FJOURNAL = {American Mathematical Society. Bulletin. New Series},
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YEAR = {1989},
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1891
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2119
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2120
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2185
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2202
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2203
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2205
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2213
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MRNUMBER = {47 #3396},
2262
MRREVR = {K.-B. Gundlach},
2263
}
2264
2265
@book{rubin:book,
2266
Author={Rubin, K.},
2267
title = {{E}uler {S}ystems},
2268
note = {{A}nnals of {M}athematics {S}tudies {\bf 147},
2269
\protect{\sf http://math.Stanford.EDU/\~{ }rubin/weyl.html}},
2270
publisher = {Princeton University Press},
2271
year = {Spring 2000}
2272
}
2273
@article {rubin:main-conjectures,
2274
AUTHOR = {Rubin, K.},
2275
TITLE = {The ``main conjectures'' of {I}wasawa theory for imaginary
2276
quadratic fields},
2277
JOURNAL = {Invent. Math.},
2278
FJOURNAL = {Inventiones Mathematicae},
2279
VOLUME = {103},
2280
YEAR = {1991},
2281
NUMBER = {1},
2282
PAGES = {25--68},
2283
ISSN = {0020-9910},
2284
CODEN = {INVMBH},
2285
MRCLASS = {11R23 (11G05 11G40)},
2286
MRNUMBER = {92f:11151},
2287
MRREVR = {M. A. Kenku},
2288
}
2289
2290
2291
2292
@incollection {rubin:kolyvagin,
2293
AUTHOR = {Rubin, K.},
2294
TITLE = {The work of {K}olyvagin on the arithmetic of elliptic curves},
2295
BOOKTITLE = {Arithmetic of complex manifolds (Erlangen, 1988)},
2296
PAGES = {128--136},
2297
PUBLISHER = {Springer},
2298
ADDRESS = {Berlin},
2299
YEAR = {1989},
2300
}
2301
2302
@article {rubin:cmsha,
2303
AUTHOR = {Rubin, Karl},
2304
TITLE = {Tate-{S}hafarevich groups and ${L}$-functions of elliptic
2305
curves with complex multiplication},
2306
JOURNAL = {Invent. Math.},
2307
FJOURNAL = {Inventiones Mathematicae},
2308
VOLUME = {89},
2309
YEAR = {1987},
2310
NUMBER = {3},
2311
PAGES = {527--559},
2312
ISSN = {0020-9910},
2313
CODEN = {INVMBH},
2314
}
2315
2316
2317
2318
@proceedings {MR90h:14001,
2319
TITLE = {Arithmetic of complex manifolds},
2320
BOOKTITLE = {Proceedings of the conference held at the University of
2321
Erlangen, Erlangen, May 27--31, 1988},
2322
EDITOR = {Barth, W. P. and Lange, H.},
2323
PUBLISHER = {Springer-Verlag},
2324
ADDRESS = {Berlin},
2325
YEAR = {1989},
2326
PAGES = {vi+171},
2327
ISBN = {3-540-51729-4},
2328
}
2329
2330
2331
2332
@article{mazur:visthree,
2333
author="Mazur, B.",
2334
title="Visualizing elements of order three
2335
in the {S}hafarevich-{T}ate group",
2336
year={1999},
2337
journal="preprint"
2338
}
2339
2340
@ARTICLE{mazur:eisenstein,
2341
AUTHOR = {Mazur, B.},
2342
TITLE = {Modular curves and the \protect{Eisenstein} ideal},
2343
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
2344
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
2345
Math\'ematiques},
2346
NUMBER = {47},
2347
YEAR = {1977},
2348
PAGES = {33--186 (1978)},
2349
ISSN = {0073-8301},
2350
CODEN = {PMIHA6},
2351
}
2352
2353
@article{mazur:tower,
2354
AUTHOR = {Mazur, B.},
2355
TITLE = {Rational points of abelian varieties with values in towers of
2356
number fields},
2357
JOURNAL = {Invent. Math.},
2358
VOLUME = {18},
2359
YEAR = {1972},
2360
PAGES = {183--266},
2361
}
2362
2363
@article{mazur:rational,
2364
AUTHOR = {Mazur, B.},
2365
TITLE = {Rational isogenies of prime degree (with an appendix by {D}.
2366
{G}oldfeld)},
2367
JOURNAL = {Invent. Math.},
2368
FJOURNAL = {Inventiones Mathematicae},
2369
VOLUME = {44},
2370
YEAR = {1978},
2371
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2372
PAGES = {129--162},
2373
ISSN = {0020-9910},
2374
CODEN = {INVMBH},
2375
}
2376
2377
@article {mazur:towers,
2378
AUTHOR = {Mazur, Barry},
2379
TITLE = {Rational points of abelian varieties with values in towers of
2380
number fields},
2381
JOURNAL = {Invent. Math.},
2382
VOLUME = {18},
2383
YEAR = {1972},
2384
PAGES = {183--266},
2385
MRCLASS = {14G25 (14K15)},
2386
MRNUMBER = {56 #3020},
2387
MRREVR = {J.\thinspace{}S. Milne},
2388
}
2389
2390
2391
@article{mazur:arizona,
2392
author="Mazur, B.",
2393
title ="Three lectures about the arithmetic
2394
of elliptic curves.",
2395
journal="To appear in the proceedings from the Arizona Southwest Geometry Winter School",
2396
year=1998
2397
}
2398
2399
@article{mazur:visord3,
2400
author="Mazur, B.",
2401
title="Visualizing elements of order three
2402
in the Shafarevich-Tate group.",
2403
journal="preprint",
2404
year=1998
2405
}
2406
2407
2408
2409
@article{mestre:graphs,
2410
AUTHOR = {Mestre, J.-F.},
2411
TITLE = {La m\'ethode des graphes. \protect{Exemples} et applications},
2412
JOURNAL = {Proceedings of the international conference on class numbers
2413
and fundamental units of algebraic number fields (Katata)},
2414
PAGES = {217--242},
2415
PUBLISHER = {Nagoya Univ.},
2416
ADDRESS = {Nagoya},
2417
YEAR = {1986},
2418
}
2419
2420
@article{mestre-oesterle,
2421
AUTHOR = {Mestre, J.-F. and Oesterl{\'e}, J.},
2422
TITLE = {Method of graphs (long unpublished manuscript)},
2423
journal = {in preparation}
2424
}
2425
2426
@article {raynaud:ihes,
2427
AUTHOR = {Raynaud, Mich\`{e}le},
2428
TITLE = {Sp\'ecialisation du foncteur de {P}icard},
2429
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math. No.},
2430
VOLUME = {38},
2431
YEAR = {1970},
2432
PAGES = {27--76},
2433
MRCLASS = {14.55},
2434
MRNUMBER = {44 #227},
2435
MRREVR = {R. T. Hoobler},
2436
}
2437
2438
@article{raynaud,
2439
author = {Raynaud},
2440
title = {I'm not sure which paper}
2441
}
2442
2443
@book {mumford:abvars,
2444
AUTHOR = {Mumford, D.},
2445
TITLE = {Abelian varieties},
2446
NOTE = {Tata Institute of Fundamental Research Studies in Mathematics,
2447
No. 5 },
2448
PUBLISHER = {Published for the Tata Institute of Fundamental Research,
2449
Bombay},
2450
YEAR = {1970},
2451
PAGES = {viii+242},
2452
}
2453
2454
@incollection {sturm:cong,
2455
AUTHOR = {Sturm, J.},
2456
TITLE = {On the congruence of modular forms},
2457
BOOKTITLE = {Number theory (New York, 1984--1985)},
2458
PAGES = {275--280},
2459
PUBLISHER = {Springer},
2460
ADDRESS = {Berlin},
2461
YEAR = {1987},
2462
}
2463
2464
@proceedings {MR87m:11004,
2465
TITLE = {Number theory},
2466
BOOKTITLE = {Proceedings of the seminar held at the City University of New
2467
York, New York, 1984--1985},
2468
EDITOR = {Chudnovsky, D.\thinspace{}V. and
2469
Chudnovsky, G.\thinspace{}V.
2470
and Cohn, H. and
2471
Nathanson, M.\thinspace{}B.},
2472
PUBLISHER = {Springer-Verlag},
2473
ADDRESS = {Berlin},
2474
YEAR = {1987},
2475
PAGES = {vi+324},
2476
ISBN = {3-540-17669-1},
2477
}
2478
2479
@book {MR99f:00041,
2480
TITLE = {S\'eminaire {B}ourbaki. {V}ol. 9},
2481
NOTE = {Ann\'ees 1964/65-1965/66. [Years 1964/65-1965/66],
2482
Expos\'es 277--312,
2483
Reprint of the edition published by W. A. Benjamin, New
2484
York-Amsterdam, 1966 [MR {\bf 33} \#5420l; MR {\bf 34} \#5605]},
2485
PUBLISHER = {Soci\'et\'e Math\'ematique de France},
2486
ADDRESS = {Paris},
2487
YEAR = {1995},
2488
PAGES = {iv+531},
2489
ISBN = {2-85629-042-6},
2490
}
2491
2492
@incollection {tate:bsd,
2493
AUTHOR = {Tate, J.},
2494
TITLE = {On the conjectures of {B}irch and {S}winnerton-{D}yer and a
2495
geometric analog},
2496
BOOKTITLE = {S\'eminaire Bourbaki, Vol.\ 9},
2497
PAGES = {Exp.\ No.\ 306, 415--440},
2498
PUBLISHER = {Soc. Math. France},
2499
ADDRESS = {Paris},
2500
YEAR = {1995},
2501
}
2502
2503
2504
2505
@book {mumford:geometric,
2506
AUTHOR = {Mumford, D. and Fogarty, J. and Kirwan, F.},
2507
TITLE = {Geometric invariant theory},
2508
EDITION = {Third},
2509
PUBLISHER = {Springer-Verlag},
2510
ADDRESS = {Berlin},
2511
YEAR = {1994},
2512
PAGES = {xiv+292},
2513
ISBN = {3-540-56963-4},
2514
}
2515
2516
@inproceedings {queen,
2517
AUTHOR = {Queen, C.},
2518
TITLE = {The existence of \protect{$p$}-adic
2519
\protect{A}belian
2520
\protect{${L}$}-functions},
2521
BOOKTITLE = {Number theory and algebra},
2522
PAGES = {263--288},
2523
PUBLISHER = {Academic Press},
2524
ADDRESS = {New York},
2525
YEAR = {1977},
2526
}
2527
2528
@book {MR56:11675,
2529
TITLE = {Number theory and algebra},
2530
EDITOR = {Zassenhaus, H.},
2531
NOTE = {Collected papers dedicated to Henry B. Mann, Arnold E. Ross,
2532
and Olga Taussky-Todd},
2533
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]},
2534
ADDRESS = {New York},
2535
YEAR = {1977},
2536
PAGES = {x1vi+393},
2537
ISBN = {0-12-776350-3.},
2538
}
2539
2540
@article {ribet:galoissurvey,
2541
AUTHOR = {Ribet, K.\thinspace{}A.},
2542
TITLE = {Galois representations and modular forms},
2543
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
2544
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
2545
VOLUME = {32},
2546
YEAR = {1995},
2547
NUMBER = {4},
2548
PAGES = {375--402},
2549
ISSN = {0273-0979},
2550
CODEN = {BAMOAD},
2551
}
2552
2553
@book {MR90j:11004,
2554
TITLE = {S\'eminaire de {T}h\'eorie des {N}ombres, {P}aris 1987--88},
2555
EDITOR = {Goldstein, Catherine},
2556
NOTE = {Papers from the seminar held in Paris, 1987--88},
2557
PUBLISHER = {Birkh\"auser Boston Inc.},
2558
ADDRESS = {Boston, MA},
2559
YEAR = {1990},
2560
PAGES = {viii+350},
2561
ISBN = {0-8176-3458-4},
2562
}
2563
2564
@incollection {ribet:raising,
2565
AUTHOR = {Ribet, K.\thinspace{}A.},
2566
TITLE = {Raising the levels of modular representations},
2567
BOOKTITLE = {S\'eminaire de Th\'eorie des Nombres, Paris 1987--88},
2568
PAGES = {259--271},
2569
PUBLISHER = {Birkh\"auser Boston},
2570
ADDRESS = {Boston, MA},
2571
YEAR = {1990},
2572
}
2573
2574
@inproceedings {ribet:galoisattached,
2575
AUTHOR = {Ribet, K.\thinspace{}A.},
2576
TITLE = {Galois representations attached to eigenforms with
2577
\protect{N}ebentypus},
2578
BOOKTITLE = {Modular functions of one variable, V (Proc. Second Internat.
2579
Conf., Univ. Bonn, Bonn, 1976)},
2580
PAGES = {17--51. Lecture Notes in Math., Vol. 601},
2581
PUBLISHER = {Springer},
2582
ADDRESS = {Berlin},
2583
YEAR = {1977},
2584
}
2585
2586
@article {katz:annals75,
2587
AUTHOR = {Katz, N.\thinspace{}M.},
2588
TITLE = {Higher congruences between modular forms},
2589
JOURNAL = {Ann. of Math. (2)},
2590
VOLUME = {101},
2591
YEAR = {1975},
2592
PAGES = {332--367},
2593
MRCLASS = {10D05 (14K15)},
2594
MRNUMBER = {54 #5120},
2595
MRREVR = {Neal Koblitz},
2596
}
2597
2598
@inproceedings {katz:antwerp350,
2599
AUTHOR = {Katz, N.\thinspace{}M.},
2600
TITLE = {$p$-adic properties of modular schemes and modular forms},
2601
BOOKTITLE = {Modular functions of one variable, III (Proc. Internat. Summer
2602
School, Univ. Antwerp, Antwerp, 1972)},
2603
PAGES = {69--190. Lecture Notes in Mathematics, Vol. 350},
2604
PUBLISHER = {Springer},
2605
ADDRESS = {Berlin},
2606
YEAR = {1973},
2607
}
2608
2609
@inproceedings {KATZBONN,
2610
AUTHOR = {Katz, N.\thinspace{}M.},
2611
TITLE = {A result on modular forms in characteristic $p$},
2612
BOOKTITLE = {Modular functions of one variable, V (Proc. Second Internat.
2613
Conf., Univ. Bonn, Bonn, 1976)},
2614
PAGES = {53--61. Lecture Notes in Math., Vol. 601},
2615
PUBLISHER = {Springer},
2616
ADDRESS = {Berlin},
2617
YEAR = {1977}
2618
}
2619
2620
2621
2622
2623
@article {pizer:alg,
2624
AUTHOR = {Pizer, A.},
2625
TITLE = {An algorithm for computing modular forms on
2626
\protect{$\Gamma\sb{0}({N})$}},
2627
JOURNAL = {J. Algebra},
2628
FJOURNAL = {Journal of Algebra},
2629
VOLUME = {64},
2630
YEAR = {1980},
2631
NUMBER = {2},
2632
PAGES = {340--390},
2633
ISSN = {0021-8693},
2634
CODEN = {JALGA4},
2635
}
2636
2637
@article {pizer:arithmetic,
2638
AUTHOR = {Pizer, A.},
2639
TITLE = {On the arithmetic of quaternion algebras},
2640
JOURNAL = {Acta Arith.},
2641
VOLUME = {31},
2642
YEAR = {1976},
2643
NUMBER = {1},
2644
PAGES = {61--89},
2645
}
2646
2647
@article {pizer:arithmetictwo,
2648
AUTHOR = {Pizer, A.},
2649
TITLE = {On the arithmetic of quaternion algebras. \protect{II}},
2650
JOURNAL = {J. Math. Soc. Japan},
2651
VOLUME = {28},
2652
YEAR = {1976},
2653
NUMBER = {4},
2654
PAGES = {676--688},
2655
}
2656
2657
2658
@article {pizer:rep,
2659
AUTHOR = {Pizer, A.},
2660
TITLE = {The representability of modular forms by theta series},
2661
JOURNAL = {J. Math. Soc. Japan},
2662
VOLUME = {28},
2663
YEAR = {1976},
2664
NUMBER = {4},
2665
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2666
}
2667
2668
@book {slnm601,
2669
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2670
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2671
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2672
NOTE = {Edited by J-P. Serre and D. B. Zagier,
2673
Lecture Notes in Mathematics, Vol. 601},
2674
PUBLISHER = {Springer-Verlag},
2675
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2676
YEAR = {1977},
2677
PAGES = {i+294},
2678
}
2679
2680
2681
@article {mestre-oesterle:crelle,
2682
AUTHOR = {Mestre, J.-F. and Oesterl{\'e}, J.},
2683
TITLE = {Courbes de {W}eil semi-stables de discriminant une puissance
2684
\protect{$m$}-i\`eme},
2685
JOURNAL = {J. Reine Angew. Math.},
2686
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
2687
VOLUME = {400},
2688
YEAR = {1989},
2689
PAGES = {173--184},
2690
ISSN = {0075-4102},
2691
CODEN = {JRMAA8},
2692
MRCLASS = {11G18 (11F70 11G05 14G25 14K07)},
2693
MRNUMBER = {90g:11078},
2694
MRREVR = {Noriko Yui},
2695
}
2696
2697
@article{ribet:mestreletter,
2698
author = {Ribet, K.\thinspace{}A.},
2699
title = {Letter to \protect{M}estre},
2700
year = {November, 1987}
2701
}
2702
2703
2704
@proceedings {MR88c:14001,
2705
TITLE = {Current trends in arithmetical algebraic geometry},
2706
BOOKTITLE = {Proceedings of the AMS-IMS-SIAM joint summer research
2707
conference held at Humboldt State University, Arcata, Calif.,
2708
August 18--24, 1985},
2709
EDITOR = {Ribet, Kenneth A.},
2710
PUBLISHER = {American Mathematical Society},
2711
ADDRESS = {Providence, R.I.},
2712
YEAR = {1987},
2713
PAGES = {x+293},
2714
ISBN = {0-8218-5070-1},
2715
}
2716
2717
@incollection {SERRE:ARCATA,
2718
AUTHOR = {Serre, J-P.},
2719
TITLE = {Lettre \`a {J}.-{F}. {M}estre},
2720
BOOKTITLE = {Current trends in arithmetical algebraic geometry (Arcata,
2721
Calif., 1985)},
2722
PAGES = {263--268},
2723
PUBLISHER = {Amer. Math. Soc.},
2724
ADDRESS = {Providence, RI},
2725
YEAR = {1987},
2726
}
2727
2728
@article{ribet:lowering,
2729
author={Ribet, K.\thinspace{}A.},
2730
title = {Lowering the levels of modular representations
2731
without multiplicity one},
2732
journal={International Mathematics Research Notices},
2733
year={1991},
2734
pages={15--19}
2735
}
2736
2737
@article {ribet:modreps,
2738
AUTHOR = {Ribet, K.\thinspace{}A.},
2739
TITLE = {On modular representations of
2740
\protect{${\rm {G}al}(\overline{\bf{Q}}/{\bf {Q}})$}
2741
arising from modular forms},
2742
JOURNAL = {Invent. Math.},
2743
FJOURNAL = {Inventiones Mathematicae},
2744
VOLUME = {100},
2745
YEAR = {1990},
2746
NUMBER = {2},
2747
PAGES = {431--476},
2748
ISSN = {0020-9910},
2749
CODEN = {INVMBH},
2750
}
2751
2752
2753
2754
@incollection {ribet:report,
2755
AUTHOR = {Ribet, K.\thinspace{}A.},
2756
TITLE = {Report on mod \protect{$\ell$} representations of
2757
\protect{${\rm {G}al}(\overline{\bf{Q}}/{\bf {Q}})$}},
2758
BOOKTITLE = {Motives (Seattle, WA, 1991)},
2759
PAGES = {639--676},
2760
PUBLISHER = {Amer. Math. Soc.},
2761
ADDRESS = {Providence, RI},
2762
YEAR = {1994},
2763
}
2764
2765
2766
@book {schilling,
2767
TITLE = {Arithmetical algebraic geometry. (\protect{P}roceedings of a
2768
\protect{C}onference held at \protect{P}urdue
2769
\protect{U}niversity, \protect{D}ecember 5--7,
2770
1963)},
2771
EDITOR = {Schilling, O.\thinspace{}F.\thinspace{}G.},
2772
PUBLISHER = {Harper \& Row Publishers},
2773
ADDRESS = {New York},
2774
YEAR = {1965},
2775
PAGES = {vii+200},
2776
}
2777
2778
@article{ribet:toulouse,
2779
author={Ribet, K.\thinspace{}A.},
2780
TITLE = {From the \protect{T}aniyama-\protect{S}himura
2781
conjecture to \protect{F}ermat's last theorem},
2782
JOURNAL = {Ann. Fac. Sci. Toulouse Math. (5)},
2783
FJOURNAL = {Toulouse. Facult\'e des Sciences. Annales. Math\'ematiques.
2784
S\'erie 5},
2785
VOLUME = {11},
2786
YEAR = {1990},
2787
NUMBER = {1},
2788
PAGES = {116--139},
2789
ISSN = {0240-2955},
2790
}
2791
2792
@inproceedings{HPF,
2793
AUTHOR = {Swinnerton-Dyer, H.\thinspace{}P.\thinspace{}F.},
2794
TITLE = {On $\ell$-adic representations and congruences for coefficients of
2795
modular forms},
2796
BOOKTITLE = {Proceedings of the International Summer School, University of
2797
Antwerp, RUCA, July 17--August 3, 1972},
2798
PAGES = {1--55. Lecture Notes in Math., Vol. 350},
2799
PUBLISHER = {Springer},
2800
ADDRESS = {Berlin},
2801
YEAR = {1973},
2802
}
2803
2804
@article{SERRETAU,
2805
author = {Serre, J-P.},
2806
title = {Une \protect{interpr\'etation}
2807
des congruences relatives \protect{\`a}
2808
la fonction \protect{$\tau$} de {R}amanujan},
2809
journal = {\protect{S\'eminaire Delange-Pisot-Poitou}},
2810
year = {1967--68},
2811
volume = {\protect{$n^o$} 14}
2812
}
2813
2814
@incollection {gruenberg,
2815
AUTHOR = {Gruenberg, K.},
2816
TITLE = {Profinite groups},
2817
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
2818
1965)},
2819
PAGES = {116--127},
2820
PUBLISHER = {Thompson, Washington, D.C.},
2821
YEAR = {1967},
2822
}
2823
2824
@book {MR35:6500,
2825
TITLE = {Algebraic number theory},
2826
BOOKTITLE = {Proceedings of an instructional conference organized by the
2827
London Mathematical Society (a NATO Advanced Study Institute)
2828
with the support of the Inter national Mathematical Union.
2829
Edited by J. W. S. Cassels and A. Fr\"ohlich},
2830
PUBLISHER = {Academic Press},
2831
ADDRESS = {London},
2832
YEAR = {1967},
2833
PAGES = {xviii+366},
2834
}
2835
2836
@book {serre:gc,
2837
AUTHOR = {Serre, J-P.},
2838
TITLE = {Galois cohomology},
2839
NOTE = {Translated from the French by Patrick Ion and revised by the
2840
author},
2841
PUBLISHER = {Springer-Verlag},
2842
ADDRESS = {Berlin},
2843
YEAR = {1997},
2844
PAGES = {x+210},
2845
ISBN = {3-540-61990-9},
2846
}
2847
2848
@book {serre:ladic,
2849
AUTHOR = {Serre, J-P.},
2850
TITLE = {Abelian \protect{$\ell$}-adic representations and elliptic curves},
2851
NOTE = {With the collaboration of Willem Kuyk and John Labute,
2852
Revised reprint of the 1968 original},
2853
PUBLISHER = {A\thinspace{}K Peters Ltd.},
2854
ADDRESS = {Wellesley, MA},
2855
YEAR = {1998},
2856
PAGES = {199},
2857
ISBN = {1-56881-077-6},
2858
}
2859
2860