Explicit constructions of automorphic L-functions:
Gespeichert in:
| Weitere beteiligte Personen: | , , |
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| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin, [u.a.]
Springer
[1987]
|
| Schriftenreihe: | Lecture notes in mathematics
1254 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | VI, 152 Seiten |
| ISBN: | 3540178481 0387178481 |
Internformat
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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 | |
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| 650 | 0 | 7 | |a Automorphe L-Funktion |0 (DE-588)4208075-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Automorphe Funktion |0 (DE-588)4143706-8 |2 gnd |9 rswk-swf |
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| 689 | 1 | 2 | |a Lineare Gruppe |0 (DE-588)4138778-8 |D s |
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| 700 | 1 | |a Gelbart, Stephen S. |d 1946- |0 (DE-588)108684083 |4 edt | |
| 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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| 830 | 0 | |a Lecture notes in mathematics |v 1254 |w (DE-604)BV000676446 |9 1254 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-001395542 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-1254 |
|---|---|
| DE-BY-TUM_katkey | 278539 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020540354 |
| _version_ | 1821935696351330304 |
| adam_text | 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 |
| author2 | Gelbart, Stephen S. 1946- Pjateckij-Šapiro, Ilʹja I. 1929-2009 Rallis, Stephen 1942- |
| author2_role | edt edt edt |
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| 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- |
| building | Verbundindex |
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| dewey-raw | 512/.73 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002128102 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:46:27Z |
| institution | BVB |
| isbn | 3540178481 0387178481 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001395542 |
| oclc_num | 230986570 |
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| physical | VI, 152 Seiten |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Explicit constructions of automorphic L-functions Lecture notes in mathematics Fonctions L L-functies gtt Automorphic forms L-functions Representations of groups Lineare Gruppe (DE-588)4138778-8 gnd L-Funktion (DE-588)4137026-0 gnd Automorphe L-Funktion (DE-588)4208075-7 gnd Automorphe Funktion (DE-588)4143706-8 gnd |
| subject_GND | (DE-588)4138778-8 (DE-588)4137026-0 (DE-588)4208075-7 (DE-588)4143706-8 |
| 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 Lineare Gruppe (DE-588)4138778-8 gnd L-Funktion (DE-588)4137026-0 gnd Automorphe L-Funktion (DE-588)4208075-7 gnd Automorphe Funktion (DE-588)4143706-8 gnd |
| topic_facet | Fonctions L L-functies Automorphic forms L-functions Representations of groups Lineare Gruppe L-Funktion Automorphe L-Funktion Automorphe 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 |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT gelbartstephens explicitconstructionsofautomorphiclfunctions AT pjateckijsapiroilʹjai explicitconstructionsofautomorphiclfunctions AT rallisstephen explicitconstructionsofautomorphiclfunctions |
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Teilbibliothek Mathematik & Informatik
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0102 MAT 001z 2001 B 999-1254
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| Exemplar 1 | Ausleihbar Am Standort |