Number theory: 3 Iwasawa theory and modular forms
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Providence, RI
American Math. Soc.
2012
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Schriftenreihe: | Translations of mathematical monographs
242 |
Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
Beschreibung: | XIV, 226 S. graph. Darst. |
ISBN: | 9780821820957 9780821813553 |
Internformat
MARC
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Datensatz im Suchindex
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adam_text | Titel: Bd. 3. Number theory. Iwasawa theory and modular forms
Autor:
Jahr: 2012
Contents
Preface ix
Preface to the English Edition xi
Objectives and Outline of These Books xiii
Chapter 9. Modular Forms 1
9.1. Ramanujan s discoveries 4
9.2. Ramanujan s A and holomorphic Eisenstein series 17
9.3. Automorphy and functional equations 25
9.4. Real analytic Eisenstein series 31
9.5. Kronecker s limit formula and regularized products 47
9.6. Modular forms for SZ»2(2S) 64
9.7. Classical modular forms 74
Summary 83
Exercises 84
Chapter 10. Iwasawa Theory 87
10.0. What is Iwasawa theory? 88
10.1. Analytic p-adic zeta functions 97
10.2. Ideal class groups and cyclotomic Zp-extensions 126
10.3. Iwasawa main conjecture 147
Summary 164
Exercises 164
Chapter 11. Modular forms (II) 167
11.1. Automorphic forms and representation theory 168
11.2. Poisson summation formula 174
11.3. Selberg trace formula 180
11.4. Langlands conjectures 185
Summary 187
CONTENTS
Chapter 12. Elliptic curves (II) 189
12.1. Elliptic curves over the rational number field 189
12.2. Fermat s Last Theorem 201
Summary 208
Bibliography 211
Answers to Questions 217
Answers to Exercises 219
Index 225
|
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id | DE-604.BV040440834 |
illustrated | Illustrated |
indexdate | 2024-07-10T00:23:58Z |
institution | BVB |
isbn | 9780821820957 9780821813553 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025288666 |
oclc_num | 815931034 |
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physical | XIV, 226 S. graph. Darst. |
publishDate | 2012 |
publishDateSearch | 2012 |
publishDateSort | 2012 |
publisher | American Math. Soc. |
record_format | marc |
series | Translations of mathematical monographs |
series2 | Translations of mathematical monographs Iwanami series in modern mathematics |
spelling | Kato, Kazuya 1952- Verfasser (DE-588)113479778 aut Suron Number theory 3 Iwasawa theory and modular forms Kazuya Kato ; Nobushige Kurokawa ; Takeshi Saito Providence, RI American Math. Soc. 2012 XIV, 226 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 242 Translations of mathematical monographs ... Iwanami series in modern mathematics Kurihara, Masato Sonstige oth Kurokawa, Nobushige 1952- Verfasser (DE-588)1044451203 aut Saitō, Takeshi 1961- Verfasser (DE-588)1017141959 aut (DE-604)BV012982947 3 Translations of mathematical monographs 242 (DE-604)BV000002394 242 http://www.ams.org/bookstore/pspdf/mmono-242-toc.pdf Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025288666&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kato, Kazuya 1952- Kurokawa, Nobushige 1952- Saitō, Takeshi 1961- Number theory Translations of mathematical monographs |
title | Number theory |
title_alt | Suron |
title_auth | Number theory |
title_exact_search | Number theory |
title_full | Number theory 3 Iwasawa theory and modular forms Kazuya Kato ; Nobushige Kurokawa ; Takeshi Saito |
title_fullStr | Number theory 3 Iwasawa theory and modular forms Kazuya Kato ; Nobushige Kurokawa ; Takeshi Saito |
title_full_unstemmed | Number theory 3 Iwasawa theory and modular forms Kazuya Kato ; Nobushige Kurokawa ; Takeshi Saito |
title_short | Number theory |
title_sort | number theory iwasawa theory and modular forms |
url | http://www.ams.org/bookstore/pspdf/mmono-242-toc.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025288666&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV012982947 (DE-604)BV000002394 |
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