Congruences for L-functions:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
2000
|
| Schriftenreihe: | Mathematics and its applications
511 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 256 S. |
| ISBN: | 0792363795 |
Internformat
MARC
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| 100 | 1 | |a Urbanowicz, Jerzy |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Congruences for L-functions |c Jerzy Urbanowicz and Kenneth S. Williams |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 2000 | |
| 300 | |a XII, 256 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 511 | |
| 650 | 4 | |a L-Funktion | |
| 650 | 4 | |a Congruences and residues | |
| 650 | 4 | |a L-functions | |
| 650 | 0 | 7 | |a L-Funktion |0 (DE-588)4137026-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kongruenz |0 (DE-588)4164978-3 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Kongruenz |0 (DE-588)4164978-3 |D s |
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| 700 | 1 | |a Williams, Kenneth S. |d 1940- |e Verfasser |0 (DE-588)132012030 |4 aut | |
| 830 | 0 | |a Mathematics and its applications |v 511 |w (DE-604)BV008163334 |9 511 | |
| 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=009170450&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009170450 | ||
Datensatz im Suchindex
| _version_ | 1804128226993242112 |
|---|---|
| adam_text | Contents
Preface ix
I. SHORT CHARACTER SUMS 1
1. Introduction 1
2. Bernoulli Numbers and Polynomials 9
3. Generalized Bernoulli Numbers 12
4. Dirichlet L functions 16
5. The values of L(l,x) and L(2,x) 18
6. The Dedekind Zeta Function 21
7. if theoretic Background 23
8. Quadratic Fields 27
9. Power Sums Involving Dirichlet Characters 30
10. Some Elementary Lemmas 45
H. CLASS NUMBER CONGRUENCES 51
1. Imaginary Quadratic Fields 51
2. Real Quadratic Fields 72
IE. CONGRUENCES BETWEEN THE ORDERS OF i^ GROUPS 77
1. Real Quadratic Fields 78
2. Congruences for Higher Bernoulli Numbers 96
IV. CONGRUENCES AMONG THE VALUES
OF 2 ADIC L FUNCTIONS 117
1. Notation 117
2. p adic Z functions 119
3. Coleman s Results 122
4. Some Auxiliary Lemmas 128
5. Linear Congruence Relations 160
V. APPLICATIONS OF ZAGIER S FORMULA (I) 181
1. Introduction 181
vii
viii Congruences for L functions
2. Dirichlet Characters with Certain Properties 184
3. Character Sums in Terms of Bernoulli Numbers 192
4. Applications 195
5. Tables 198
VI. APPLICATIONS OF ZAGIER S FORMULA (II) 203
1. Preliminaries 203
2. Gauss Congruence from Dirichlet s Class Number Formula 208
3. Character Power Sums in Terms of Bernoulli Numbers 210
4. The Main Results 213
Bibliography 231
Author Index 247
Subject Index 249
List of symbols 253
|
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| author | Urbanowicz, Jerzy Williams, Kenneth S. 1940- |
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| id | DE-604.BV013437019 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:45:53Z |
| institution | BVB |
| isbn | 0792363795 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009170450 |
| oclc_num | 247045824 |
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| owner | DE-355 DE-BY-UBR DE-20 |
| owner_facet | DE-355 DE-BY-UBR DE-20 |
| physical | XII, 256 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Urbanowicz, Jerzy Verfasser aut Congruences for L-functions Jerzy Urbanowicz and Kenneth S. Williams Dordrecht [u.a.] Kluwer 2000 XII, 256 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 511 L-Funktion Congruences and residues L-functions L-Funktion (DE-588)4137026-0 gnd rswk-swf Kongruenz (DE-588)4164978-3 gnd rswk-swf L-Funktion (DE-588)4137026-0 s Kongruenz (DE-588)4164978-3 s DE-604 Williams, Kenneth S. 1940- Verfasser (DE-588)132012030 aut Mathematics and its applications 511 (DE-604)BV008163334 511 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009170450&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Urbanowicz, Jerzy Williams, Kenneth S. 1940- Congruences for L-functions Mathematics and its applications L-Funktion Congruences and residues L-functions L-Funktion (DE-588)4137026-0 gnd Kongruenz (DE-588)4164978-3 gnd |
| subject_GND | (DE-588)4137026-0 (DE-588)4164978-3 |
| title | Congruences for L-functions |
| title_auth | Congruences for L-functions |
| title_exact_search | Congruences for L-functions |
| title_full | Congruences for L-functions Jerzy Urbanowicz and Kenneth S. Williams |
| title_fullStr | Congruences for L-functions Jerzy Urbanowicz and Kenneth S. Williams |
| title_full_unstemmed | Congruences for L-functions Jerzy Urbanowicz and Kenneth S. Williams |
| title_short | Congruences for L-functions |
| title_sort | congruences for l functions |
| topic | L-Funktion Congruences and residues L-functions L-Funktion (DE-588)4137026-0 gnd Kongruenz (DE-588)4164978-3 gnd |
| topic_facet | L-Funktion Congruences and residues L-functions Kongruenz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009170450&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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