P-adic L-functions of p-adic representations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English French |
| Published: |
Providence, RI
American Math. Soc.
2000
|
| Series: | Astérisque
229 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 150 S. |
| ISBN: | 0821819461 |
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MARC
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| 245 | 1 | 0 | |a P-adic L-functions of p-adic representations |c Bernadette Perrin-Riou |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2000 | |
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| 490 | 1 | |a Société Mathématique de France: SMF AMS texts and monographs |v 3 | |
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| 650 | 7 | |a P-adische functies |2 gtt | |
| 650 | 4 | |a Algebraic number theory | |
| 650 | 4 | |a L-functions | |
| 650 | 4 | |a p-adic numbers | |
| 650 | 0 | 7 | |a Iwasawa-Theorie |0 (DE-588)4384573-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a p-adische Analysis |0 (DE-588)4252360-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Zahlentheorie |0 (DE-588)4001170-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a p-adische Zahl |0 (DE-588)4044292-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Zetafunktion |0 (DE-588)4190764-4 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1825578092250267648 |
|---|---|
| adam_text |
Contents
Preface xi
Addendum xvii
Notation xix
Chapter 1. Construction of the module of p adic L functions without factors
at infinity 1
Summary 1
1.1. Notation 3
1.2. Study of some local A modules 5
1.3. Galois cohomology 10
1.4. The module of p adic L functions (without factors at infinity) 13
Chapter 2. Modules of p adic L functions of V 19
Summary 19
2.1. T factors. 21
2.2. The module of p adic L functions 27
2.3. Some properties 29
2.4. Relations with the usual characteristic series and examples 30
2.5. The functional equation 36
Chapter 3. Values of the module of p adic L functions 41
Summary 41
3.1. p adic periods 43
3.2. Examples and special cases 50
3.3. Multiplicity of the zero (first form) 52
3.4. Multiplicity of the zero (second form) 57
3.5. Special values and periods 67
3.6. Special values 71
Chapter 4. The p adic L function of a motive 79
Summary 79
4.1. Background 81
4.2. Conjectural definition of the p adic L function of a motive 85
4.3. Remarks and examples 90
4.4. Special elements 106
4.5. Continuity 111
Appendix A. Results in Galois cohomology 115
A.I. Galois cohomology 115
ix
x CONTENTS
A.2. Local Iwasawa theory: first results 118
A.3. Poitou Tate exact sequences 121
A.4. Iwasawa theory and twists 123
Appendix B. The weak Leopoldt conjecture 125
Appendix C. Local Tamagawa numbers and Euler Poincare characteristic.
Application to the functional equation. 131
Summary 131
C.I. Local factors and e factors: the non Archimedean case 133
C.2. Local Euler Poincare characteristic 135
C.3. Compatibility of the Bloch Kato conjectures with the functional
equation 140
Bibliography 143
Index 147 |
| any_adam_object | 1 |
| author | Perrin-Riou, Bernadette 1955- |
| author_GND | (DE-588)151495769 |
| author_facet | Perrin-Riou, Bernadette 1955- |
| author_role | aut |
| author_sort | Perrin-Riou, Bernadette 1955- |
| author_variant | b p r bpr |
| building | Verbundindex |
| bvnumber | BV013267476 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247 |
| callnumber-search | QA247 |
| callnumber-sort | QA 3247 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)42761957 (DE-599)BVBBV013267476 |
| dewey-full | 512/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.74 |
| dewey-search | 512/.74 |
| dewey-sort | 3512 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013267476 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T13:02:18Z |
| institution | BVB |
| isbn | 0821819461 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009045160 |
| oclc_num | 42761957 |
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| owner | DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-11 |
| physical | XX, 150 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Astérisque |
| series2 | Société Mathématique de France: SMF AMS texts and monographs Astérisque |
| spelling | Perrin-Riou, Bernadette 1955- Verfasser (DE-588)151495769 aut Fonctions L p-adiques des représentations p-adiques P-adic L-functions of p-adic representations Bernadette Perrin-Riou Providence, RI American Math. Soc. 2000 XX, 150 S. txt rdacontent n rdamedia nc rdacarrier Société Mathématique de France: SMF AMS texts and monographs 3 Astérisque 229 Getaltheorie gtt L-functies gtt P-adische functies gtt Algebraic number theory L-functions p-adic numbers Iwasawa-Theorie (DE-588)4384573-3 gnd rswk-swf p-adische Analysis (DE-588)4252360-6 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 gnd rswk-swf Zetafunktion (DE-588)4190764-4 gnd rswk-swf L-Funktion (DE-588)4137026-0 gnd rswk-swf L-Funktion (DE-588)4137026-0 s p-adische Zahl (DE-588)4044292-5 s Algebraische Zahlentheorie (DE-588)4001170-7 s DE-604 Zetafunktion (DE-588)4190764-4 s 1\p DE-604 p-adische Analysis (DE-588)4252360-6 s 2\p DE-604 Iwasawa-Theorie (DE-588)4384573-3 s 3\p DE-604 Société Mathématique de France SMF AMS texts and monographs 3 (DE-604)BV013184477 3 Astérisque 229 (DE-604)BV002579439 229 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009045160&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Perrin-Riou, Bernadette 1955- P-adic L-functions of p-adic representations Astérisque Getaltheorie gtt L-functies gtt P-adische functies gtt Algebraic number theory L-functions p-adic numbers Iwasawa-Theorie (DE-588)4384573-3 gnd p-adische Analysis (DE-588)4252360-6 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd p-adische Zahl (DE-588)4044292-5 gnd Zetafunktion (DE-588)4190764-4 gnd L-Funktion (DE-588)4137026-0 gnd |
| subject_GND | (DE-588)4384573-3 (DE-588)4252360-6 (DE-588)4001170-7 (DE-588)4044292-5 (DE-588)4190764-4 (DE-588)4137026-0 |
| title | P-adic L-functions of p-adic representations |
| title_alt | Fonctions L p-adiques des représentations p-adiques |
| title_auth | P-adic L-functions of p-adic representations |
| title_exact_search | P-adic L-functions of p-adic representations |
| title_full | P-adic L-functions of p-adic representations Bernadette Perrin-Riou |
| title_fullStr | P-adic L-functions of p-adic representations Bernadette Perrin-Riou |
| title_full_unstemmed | P-adic L-functions of p-adic representations Bernadette Perrin-Riou |
| title_short | P-adic L-functions of p-adic representations |
| title_sort | p adic l functions of p adic representations |
| topic | Getaltheorie gtt L-functies gtt P-adische functies gtt Algebraic number theory L-functions p-adic numbers Iwasawa-Theorie (DE-588)4384573-3 gnd p-adische Analysis (DE-588)4252360-6 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd p-adische Zahl (DE-588)4044292-5 gnd Zetafunktion (DE-588)4190764-4 gnd L-Funktion (DE-588)4137026-0 gnd |
| topic_facet | Getaltheorie L-functies P-adische functies Algebraic number theory L-functions p-adic numbers Iwasawa-Theorie p-adische Analysis Algebraische Zahlentheorie p-adische Zahl Zetafunktion L-Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009045160&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013184477 (DE-604)BV002579439 |
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