Explicit constructions of automorphic L-functions:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
[1987]
|
| Series: | Lecture notes in mathematics
1254 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 152 Seiten |
| ISBN: | 3540178481 0387178481 |
Staff View
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| 245 | 1 | 0 | |a Explicit constructions of automorphic L-functions |c Stephen Gelbart ; Ilya Piatetski-Shapiro ; Stephen Rallis |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c [1987] | |
| 264 | 4 | |c © 1987 | |
| 300 | |a VI, 152 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1254 | |
| 650 | 4 | |a Fonctions L | |
| 650 | 7 | |a L-functies |2 gtt | |
| 650 | 4 | |a Automorphic forms | |
| 650 | 4 | |a L-functions | |
| 650 | 4 | |a Representations of groups | |
| 650 | 0 | 7 | |a Automorphe Funktion |0 (DE-588)4143706-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineare Gruppe |0 (DE-588)4138778-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a L-Funktion |0 (DE-588)4137026-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Automorphe L-Funktion |0 (DE-588)4208075-7 |2 gnd |9 rswk-swf |
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| 689 | 1 | 1 | |a L-Funktion |0 (DE-588)4137026-0 |D s |
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| 700 | 1 | |a Pjateckij-Šapiro, Ilʹja I. |d 1929-2009 |0 (DE-588)122510887 |4 edt | |
| 700 | 1 | |a Rallis, Stephen |d 1942- |0 (DE-588)111219256 |4 edt | |
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Record in the Search Index
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CONTENTS
Preface
Part A : i-FUNCTIONS FOR THE CLASSICAL GROUPS
Introduction 1
§1. A formal identity 2
§2. Explicit constructions for the symplectic, orthogonal, and
unitary groups 7
§3. Explicit constructions for PGL(n). Connections with the
work of Godement and Jacquet 10
§4. Remarks on GL[n) and the other classical groups 14
§5. Special Eisenstein series for O(2n) and Sp(2n) 18
§6. Computation of certain local factors for O(2n) and Sp(2n).
Relation to Langlands L-functions 34
References 52
PART B : L-FUNCTIONS FOR G x GL(n)
Chapter I : Basic Identities and the Euler Product Expansion
Introduction 53
§1. Description of Possible Methods 58
§2. Groups of Type Bn 67
§3. Groups of Type Dn : Orbits of Maximal Isotropic Subspaces 74
§4. Groups of Type Cn : The Weil Representation 85
§5. Euler Product Expansions 93
§6. Concluding Remarks 97
VI
Chapter II : The Local Functional Equation
Introduction 99
§7. Groups of Type Bn : Preliminaries 100
§8. Groups of Type Bn : Reduction of the Main Theorem 105
§9. Groups of Type Bn : Proof of the Main Theorem 109
§10. Groups of Type Dn 115
§11. Groups of Type Cn 120
§12. Rationality of the Zeta functions 125
§13. Normalization of the Eisenstein Series 132
Appendix 137
References for Appendix 142
References for PART B 143
General Index 147
Index of Notation 150 |
| any_adam_object | 1 |
| author | Gelbart, Stephen S. 1946- Pjateckij-Šapiro, Ilʹja I. 1929-2009 Rallis, Stephen 1942- |
| author2 | Gelbart, Stephen S. 1946- Pjateckij-Šapiro, Ilʹja I. 1929-2009 Rallis, Stephen 1942- |
| author2_role | edt edt edt |
| author2_variant | s s g ss ssg i i p š iip iipš s r sr |
| author_GND | (DE-588)108684083 (DE-588)122510887 (DE-588)111219256 |
| author_facet | Gelbart, Stephen S. 1946- Pjateckij-Šapiro, Ilʹja I. 1929-2009 Rallis, Stephen 1942- Gelbart, Stephen S. 1946- Pjateckij-Šapiro, Ilʹja I. 1929-2009 Rallis, Stephen 1942- |
| author_role | aut aut aut |
| author_sort | Gelbart, Stephen S. 1946- |
| author_variant | s s g ss ssg i i p š iip iipš s r sr |
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| discipline | Mathematik |
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| indexdate | 2024-09-12T16:00:31Z |
| institution | BVB |
| isbn | 3540178481 0387178481 |
| language | English |
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| physical | VI, 152 Seiten |
| publishDate | 1987 |
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| series2 | Lecture notes in mathematics |
| spelling | Explicit constructions of automorphic L-functions Stephen Gelbart ; Ilya Piatetski-Shapiro ; Stephen Rallis Berlin, [u.a.] Springer [1987] © 1987 VI, 152 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1254 Fonctions L L-functies gtt Automorphic forms L-functions Representations of groups Automorphe Funktion (DE-588)4143706-8 gnd rswk-swf Lineare Gruppe (DE-588)4138778-8 gnd rswk-swf L-Funktion (DE-588)4137026-0 gnd rswk-swf Automorphe L-Funktion (DE-588)4208075-7 gnd rswk-swf Automorphe L-Funktion (DE-588)4208075-7 s DE-604 Automorphe Funktion (DE-588)4143706-8 s L-Funktion (DE-588)4137026-0 s Lineare Gruppe (DE-588)4138778-8 s Gelbart, Stephen S. 1946- (DE-588)108684083 edt Pjateckij-Šapiro, Ilʹja I. 1929-2009 (DE-588)122510887 edt Rallis, Stephen 1942- (DE-588)111219256 edt Erscheint auch als Online-Ausgabe 978-3-540-47880-5 Lecture notes in mathematics 1254 (DE-604)BV000676446 1254 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001395542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gelbart, Stephen S. 1946- Pjateckij-Šapiro, Ilʹja I. 1929-2009 Rallis, Stephen 1942- Explicit constructions of automorphic L-functions Lecture notes in mathematics Fonctions L L-functies gtt Automorphic forms L-functions Representations of groups Automorphe Funktion (DE-588)4143706-8 gnd Lineare Gruppe (DE-588)4138778-8 gnd L-Funktion (DE-588)4137026-0 gnd Automorphe L-Funktion (DE-588)4208075-7 gnd |
| subject_GND | (DE-588)4143706-8 (DE-588)4138778-8 (DE-588)4137026-0 (DE-588)4208075-7 |
| title | Explicit constructions of automorphic L-functions |
| title_auth | Explicit constructions of automorphic L-functions |
| title_exact_search | Explicit constructions of automorphic L-functions |
| title_full | Explicit constructions of automorphic L-functions Stephen Gelbart ; Ilya Piatetski-Shapiro ; Stephen Rallis |
| title_fullStr | Explicit constructions of automorphic L-functions Stephen Gelbart ; Ilya Piatetski-Shapiro ; Stephen Rallis |
| title_full_unstemmed | Explicit constructions of automorphic L-functions Stephen Gelbart ; Ilya Piatetski-Shapiro ; Stephen Rallis |
| title_short | Explicit constructions of automorphic L-functions |
| title_sort | explicit constructions of automorphic l functions |
| topic | Fonctions L L-functies gtt Automorphic forms L-functions Representations of groups Automorphe Funktion (DE-588)4143706-8 gnd Lineare Gruppe (DE-588)4138778-8 gnd L-Funktion (DE-588)4137026-0 gnd Automorphe L-Funktion (DE-588)4208075-7 gnd |
| topic_facet | Fonctions L L-functies Automorphic forms L-functions Representations of groups Automorphe Funktion Lineare Gruppe L-Funktion Automorphe L-Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001395542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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