Euler products and Eisenstein series:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
AMS
1997
|
| Schriftenreihe: | Regional conference series in mathematics
93 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 259 S. |
| ISBN: | 0821805746 |
Internformat
MARC
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| 245 | 1 | 0 | |a Euler products and Eisenstein series |c Goro Shimura |
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Regional conference series in mathematics |v 93 | |
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| 650 | 7 | |a Eisenstein-reeksen |2 gtt | |
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| 650 | 7 | |a Euler, produits d' |2 ram | |
| 650 | 4 | |a Eisenstein series | |
| 650 | 4 | |a Euler products | |
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| 650 | 0 | 7 | |a Spektrum |g Mathematik |0 (DE-588)4182180-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eisenstein-Reihe |0 (DE-588)4131762-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Euler-Produkt |0 (DE-588)4489294-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Graphentheorie |0 (DE-588)4113782-6 |2 gnd |9 rswk-swf |
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| 689 | 1 | 2 | |a Eisenstein-Reihe |0 (DE-588)4131762-2 |D s |
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Datensatz im Suchindex
| _version_ | 1804126293122351104 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface vii
Notation jx
Frequently used Symbols xi
Introduction xiii
Chapter I. Algebraic and Local Theories of Generalized
Unitary Groups 1
1. Elementary properties of hermitian forms and
unitary groups 1
2. Parabolic subgroups and some coset decompositions 7
3. The denominator ideal of a matrix 17
4. Hermitian forms over a commutative semisimple algebra
of rank 2 and quadratic forms 23
5. Quadratic and hermitian forms over a nonarchimedean
local field 30
6. Unitary groups over C 38
7. Symplectic groups and split unitary groups over
local fields 48
Chapter II. Adelization of Algebraic Groups and Auto
morphic Forms 57
8. Adelization of algebraic groups 57
9. Some coset decompositions relative to a parabolic sub¬
group 68
10. Automorphic forms 75
11. Hecke operators in an arbitrary group and in G^ 83
12. Elementary theory of Eisenstein series 92
Chapter III. Euler Factors on Local Groups and Eisen¬
stein Series 101
13. The series a associated with a hermitian matrix 101
14. The series o^ with nonsingular C 109
15. The explicit form of a(0, s) 118
16. The explicit form of a local Euler factor 125
17. Some local group indices 135
18. Eisenstein series on G71 145
19. The poles and residues of Eisenstein series on Gn 157
Chapter IV. Main Theorems on Euler Products, Eisen¬
stein Series, and the Mass Formula 167
20. Main theorems on analytic continuation 167
vi CONTENTS
21. Pullback of Eisenstein series: Arithmetic paxt 175
22. Pullback of Eisenstein series: Analytic part 181
23. Differential operators 190
24. The mass formula for a unitary group 199
Appendix 209
Al. Some elementary facts on real and complex analysis 209
A2. Bounded domains and kernel functions 214
A3. Convergence of Eisenstein series and some related facts 222
A4. Fourier expansion of automorphic forms 227
A5. Parabolic subgroups and compact subgroups of some clas¬
sical groups over R 236
A6. L functions of Hecke characters 237
A7. Theta functions of hermitian forms 241
A8. Central simple algebras over a local field 251
References 257
Index 259
|
| any_adam_object | 1 |
| author | Shimura, Goro 1930-2019 |
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| dewey-raw | 515.52 510 515/.243 |
| dewey-search | 515.52 510 515/.243 |
| dewey-sort | 3515.52 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:15:09Z |
| institution | BVB |
| isbn | 0821805746 |
| language | English |
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| physical | XIX, 259 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | AMS |
| record_format | marc |
| series | Regional conference series in mathematics |
| series2 | Regional conference series in mathematics |
| spelling | Shimura, Goro 1930-2019 Verfasser (DE-588)12425067X aut Euler products and Eisenstein series Goro Shimura Providence, RI AMS 1997 XIX, 259 S. txt rdacontent n rdamedia nc rdacarrier Regional conference series in mathematics 93 Eisenstein, Séries d' Eisenstein, séries d' ram Eisenstein-reeksen gtt Euler, Produits d' Euler, produits d' ram Eisenstein series Euler products Automorphe Form (DE-588)4003972-9 gnd rswk-swf Spektrum Mathematik (DE-588)4182180-4 gnd rswk-swf Eisenstein-Reihe (DE-588)4131762-2 gnd rswk-swf Euler-Produkt (DE-588)4489294-9 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Graphentheorie (DE-588)4113782-6 s Spektrum Mathematik (DE-588)4182180-4 s DE-604 Automorphe Form (DE-588)4003972-9 s Euler-Produkt (DE-588)4489294-9 s Eisenstein-Reihe (DE-588)4131762-2 s Regional conference series in mathematics 93 (DE-604)BV000004346 93 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007928574&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shimura, Goro 1930-2019 Euler products and Eisenstein series Regional conference series in mathematics Eisenstein, Séries d' Eisenstein, séries d' ram Eisenstein-reeksen gtt Euler, Produits d' Euler, produits d' ram Eisenstein series Euler products Automorphe Form (DE-588)4003972-9 gnd Spektrum Mathematik (DE-588)4182180-4 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd Euler-Produkt (DE-588)4489294-9 gnd Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4003972-9 (DE-588)4182180-4 (DE-588)4131762-2 (DE-588)4489294-9 (DE-588)4113782-6 |
| title | Euler products and Eisenstein series |
| title_auth | Euler products and Eisenstein series |
| title_exact_search | Euler products and Eisenstein series |
| title_full | Euler products and Eisenstein series Goro Shimura |
| title_fullStr | Euler products and Eisenstein series Goro Shimura |
| title_full_unstemmed | Euler products and Eisenstein series Goro Shimura |
| title_short | Euler products and Eisenstein series |
| title_sort | euler products and eisenstein series |
| topic | Eisenstein, Séries d' Eisenstein, séries d' ram Eisenstein-reeksen gtt Euler, Produits d' Euler, produits d' ram Eisenstein series Euler products Automorphe Form (DE-588)4003972-9 gnd Spektrum Mathematik (DE-588)4182180-4 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd Euler-Produkt (DE-588)4489294-9 gnd Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Eisenstein, Séries d' Eisenstein, séries d' Eisenstein-reeksen Euler, Produits d' Euler, produits d' Eisenstein series Euler products Automorphe Form Spektrum Mathematik Eisenstein-Reihe Euler-Produkt Graphentheorie |
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