On central critical values of the degree four L-functions for GSp(4): the fundamental lemma
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2003
|
| Series: | Memoirs of the American Mathematical Society
782 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 164, number 782 (fourth of 5 numbers)." |
| Physical Description: | X, 139 S. |
| ISBN: | 0821833286 |
Staff View
MARC
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| 245 | 1 | 0 | |a On central critical values of the degree four L-functions for GSp(4) |b the fundamental lemma |c Masaaki Furusawa, Joseph A. Shalika |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2003 | |
| 300 | |a X, 139 S. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 782 | |
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| 650 | 4 | |a Automorphic forms | |
| 650 | 4 | |a Modular groups | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Abstract viii
Introduction ix
Chapter 1. Statement of Results 1
1.1. The Global Relative Trace Formulas 1
1.2. Notation 9
1.3. Main Results 10
Chapter 2. Gauss Sum, Kloosterman Sum and Salie Sum 14
2.1. Gauss sum 14
2.2. Kloosterman sum and Salie sum 17
2.3. The Davenport Hasse relation 22
Chapter 3. Matrix Argument Kloosterman Sums 26
3.1. Kloosterman sum over n by n symmetric matrices 26
3.2. Evaluation of the split Kloosterman sum 28
3.3. Evaluation of the anisotropic Kloosterman sum 38
3.4. Evaluation of the quadratic Kloosterman sum 57
Chapter 4. Evaluation of the Novodvorsky Orbital Integral 81
4.1. Double coset decomposition 81
4.2. Relevant double cosets 85
4.3. Evaluation of the Novodvorsky orbital integral 91
Chapter 5. Evaluation of the Bessel Orbital Integral 104
5.1. Relevant double cosets 104
5.2. Evaluation of the Bessel orbital integral 110
Chapter 6. Evaluation of the Quadratic Orbital Integral 116
6.1. Double coset decomposition 116
6.2. Relevant double cosets 124
6.3. Evaluation of the quadratic orbital integral 129
Bibliography 138
|
| any_adam_object | 1 |
| author | Furusawa, Masaaki |
| author_GND | (DE-588)1042066132 (DE-588)172403111 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 225f |
| ctrlnum | (OCoLC)51923587 (DE-599)BVBBV017038931 |
| dewey-full | 512/.7 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.7 510 |
| dewey-search | 512/.7 510 |
| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017038931 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:13:03Z |
| institution | BVB |
| isbn | 0821833286 |
| language | English |
| lccn | 2003048027 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010282501 |
| oclc_num | 51923587 |
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| physical | X, 139 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Furusawa, Masaaki Verfasser (DE-588)1042066132 aut On central critical values of the degree four L-functions for GSp(4) the fundamental lemma Masaaki Furusawa, Joseph A. Shalika Providence, R.I. American Mathematical Society 2003 X, 139 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 782 "Volume 164, number 782 (fourth of 5 numbers)." Automorphic forms Modular groups Siegel domains Siegel-Raum (DE-588)4181229-3 gnd rswk-swf Modulgruppe (DE-588)4170334-0 gnd rswk-swf Automorphe Form (DE-588)4003972-9 gnd rswk-swf Siegel-Raum (DE-588)4181229-3 s Modulgruppe (DE-588)4170334-0 s Automorphe Form (DE-588)4003972-9 s DE-604 Shalika, Joseph A. 1941-2010 Sonstige (DE-588)172403111 oth Memoirs of the American Mathematical Society 782 (DE-604)BV008000141 782 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010282501&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Furusawa, Masaaki On central critical values of the degree four L-functions for GSp(4) the fundamental lemma Memoirs of the American Mathematical Society Automorphic forms Modular groups Siegel domains Siegel-Raum (DE-588)4181229-3 gnd Modulgruppe (DE-588)4170334-0 gnd Automorphe Form (DE-588)4003972-9 gnd |
| subject_GND | (DE-588)4181229-3 (DE-588)4170334-0 (DE-588)4003972-9 |
| title | On central critical values of the degree four L-functions for GSp(4) the fundamental lemma |
| title_auth | On central critical values of the degree four L-functions for GSp(4) the fundamental lemma |
| title_exact_search | On central critical values of the degree four L-functions for GSp(4) the fundamental lemma |
| title_full | On central critical values of the degree four L-functions for GSp(4) the fundamental lemma Masaaki Furusawa, Joseph A. Shalika |
| title_fullStr | On central critical values of the degree four L-functions for GSp(4) the fundamental lemma Masaaki Furusawa, Joseph A. Shalika |
| title_full_unstemmed | On central critical values of the degree four L-functions for GSp(4) the fundamental lemma Masaaki Furusawa, Joseph A. Shalika |
| title_short | On central critical values of the degree four L-functions for GSp(4) |
| title_sort | on central critical values of the degree four l functions for gsp 4 the fundamental lemma |
| title_sub | the fundamental lemma |
| topic | Automorphic forms Modular groups Siegel domains Siegel-Raum (DE-588)4181229-3 gnd Modulgruppe (DE-588)4170334-0 gnd Automorphe Form (DE-588)4003972-9 gnd |
| topic_facet | Automorphic forms Modular groups Siegel domains Siegel-Raum Modulgruppe Automorphe Form |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010282501&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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