Selberg's Zeta-, L-, and Eisensteinseries:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin, [u.a.]
Springer
1983
|
| Schriftenreihe: | Lecture notes in mathematics
1030 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 196 Seiten |
| ISBN: | 3540127011 0387127011 |
Internformat
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| 100 | 1 | |a Christian, Ulrich |d 1932- |0 (DE-588)1070880744 |4 aut | |
| 245 | 1 | 0 | |a Selberg's Zeta-, L-, and Eisensteinseries |c Ulrich Christian |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c 1983 | |
| 300 | |a XII, 196 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1030 | |
| 650 | 4 | |a Eisenstein, Séries d' | |
| 650 | 4 | |a Fonctions L | |
| 650 | 4 | |a Fonctions zêta | |
| 650 | 7 | |a Getaltheorie |2 gtt | |
| 650 | 7 | |a Zeta-functies |2 gtt | |
| 650 | 4 | |a Eisenstein series | |
| 650 | 4 | |a Functions, Zeta | |
| 650 | 4 | |a L-functions | |
| 650 | 0 | 7 | |a Selberg-Spurformel |0 (DE-588)4248208-2 |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 Siegel-Eisenstein-Reihe |0 (DE-588)4181231-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Selbergsche L-Reihe |0 (DE-588)4435657-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Selberg-Zetafunktion |0 (DE-588)4314111-0 |2 gnd |9 rswk-swf |
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| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Siegel-Eisenstein-Reihe |0 (DE-588)4181231-1 |D s |
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| 830 | 0 | |a Lecture notes in mathematics |v 1030 |w (DE-604)BV000676446 |9 1030 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000143743&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1809222443540152320 |
|---|---|
| adam_text |
CONTENTS
Introduction vii
Chapter I. Epstein's zetafunction of a
binary quadratic form 1
§ 1. Preliminaries 1
§ 2. Epstein's zetafunctions and L series 11
§ 3. Elementary Eisenstein series 24
Chapter II. Preparational material 28
§ 4. Systems of primitive characters 29
§ 5. Matrices 36
§ 6. The Riemannian space of positive matrices 53
§ 7. Theta functions 66
Chapter III. Selberg's zeta and L series 89
§ 8. Descending chains 89
§ 9. Characters 98
§ 10. Selberg's zeta and L series 102
§ 11. Analytic continuation 116
§ 12. Functional equations 137
§ 13 Residues of Selberg's zetafunctions 139
Chapter IV. Selberg'a Eisensteinseries 149
§ 14. Siegel's upper half plane 149
§ 15. Selberg's Eisensteinseries 155
§ 16. Representation with Siegel's Eisenstein¬
series 160
§ 17. Representation with Selberg's zetafunction 171
§ 18. Analytic continuation 177
Chapter V. Siegel's Eisensteinseries 181
§ 19. Siegel's Eisensteinseries 181
§ 20. Poles and Hecke's summation 183
Literature 187
List of symbols 191
Index 195 |
| any_adam_object | 1 |
| author | Christian, Ulrich 1932- |
| author_GND | (DE-588)1070880744 |
| author_facet | Christian, Ulrich 1932- |
| author_role | aut |
| author_sort | Christian, Ulrich 1932- |
| author_variant | u c uc |
| building | Verbundindex |
| bvnumber | BV000239394 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| classification_tum | MAT 105f MAT 106f |
| ctrlnum | (OCoLC)10185116 (DE-599)BVBBV000239394 |
| 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.BV000239394 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-04T00:16:17Z |
| institution | BVB |
| isbn | 3540127011 0387127011 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000143743 |
| oclc_num | 10185116 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-83 DE-188 DE-11 |
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| physical | XII, 196 Seiten |
| psigel | TUB-nveb |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Christian, Ulrich 1932- (DE-588)1070880744 aut Selberg's Zeta-, L-, and Eisensteinseries Ulrich Christian Berlin, [u.a.] Springer 1983 XII, 196 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1030 Eisenstein, Séries d' Fonctions L Fonctions zêta Getaltheorie gtt Zeta-functies gtt Eisenstein series Functions, Zeta L-functions Selberg-Spurformel (DE-588)4248208-2 gnd rswk-swf Eisenstein-Reihe (DE-588)4131762-2 gnd rswk-swf Siegel-Eisenstein-Reihe (DE-588)4181231-1 gnd rswk-swf Selbergsche L-Reihe (DE-588)4435657-2 gnd rswk-swf Selberg-Zetafunktion (DE-588)4314111-0 gnd rswk-swf Eisenstein-Reihe (DE-588)4131762-2 s Selberg-Spurformel (DE-588)4248208-2 s DE-604 Selberg-Zetafunktion (DE-588)4314111-0 s Selbergsche L-Reihe (DE-588)4435657-2 s Siegel-Eisenstein-Reihe (DE-588)4181231-1 s Erscheint auch als Online-Ausgabe 978-3-540-38688-9 Lecture notes in mathematics 1030 (DE-604)BV000676446 1030 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000143743&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Christian, Ulrich 1932- Selberg's Zeta-, L-, and Eisensteinseries Lecture notes in mathematics Eisenstein, Séries d' Fonctions L Fonctions zêta Getaltheorie gtt Zeta-functies gtt Eisenstein series Functions, Zeta L-functions Selberg-Spurformel (DE-588)4248208-2 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd Siegel-Eisenstein-Reihe (DE-588)4181231-1 gnd Selbergsche L-Reihe (DE-588)4435657-2 gnd Selberg-Zetafunktion (DE-588)4314111-0 gnd |
| subject_GND | (DE-588)4248208-2 (DE-588)4131762-2 (DE-588)4181231-1 (DE-588)4435657-2 (DE-588)4314111-0 |
| title | Selberg's Zeta-, L-, and Eisensteinseries |
| title_auth | Selberg's Zeta-, L-, and Eisensteinseries |
| title_exact_search | Selberg's Zeta-, L-, and Eisensteinseries |
| title_full | Selberg's Zeta-, L-, and Eisensteinseries Ulrich Christian |
| title_fullStr | Selberg's Zeta-, L-, and Eisensteinseries Ulrich Christian |
| title_full_unstemmed | Selberg's Zeta-, L-, and Eisensteinseries Ulrich Christian |
| title_short | Selberg's Zeta-, L-, and Eisensteinseries |
| title_sort | selberg s zeta l and eisensteinseries |
| topic | Eisenstein, Séries d' Fonctions L Fonctions zêta Getaltheorie gtt Zeta-functies gtt Eisenstein series Functions, Zeta L-functions Selberg-Spurformel (DE-588)4248208-2 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd Siegel-Eisenstein-Reihe (DE-588)4181231-1 gnd Selbergsche L-Reihe (DE-588)4435657-2 gnd Selberg-Zetafunktion (DE-588)4314111-0 gnd |
| topic_facet | Eisenstein, Séries d' Fonctions L Fonctions zêta Getaltheorie Zeta-functies Eisenstein series Functions, Zeta L-functions Selberg-Spurformel Eisenstein-Reihe Siegel-Eisenstein-Reihe Selbergsche L-Reihe Selberg-Zetafunktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000143743&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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