A course in arithmetic:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English French |
| Veröffentlicht: |
New York [u.a.]
Springer
1996
|
| Ausgabe: | Corr. 5. printing |
| Schriftenreihe: | Graduate texts in mathematics
7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 115 S. graph. Darst. |
| ISBN: | 3540900403 0387900403 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804125677994115072 |
|---|---|
| adam_text | J.-P. SERRE A COURSE IN ARITHMETIC SPRINGER TABLE OF CONTENTS PREFACE V
PART I*ALGEBRAIC METHODS CHAPTER /*FINITE FIELDS 3 1*GENERALITIES 3
2*EQUATIONS OVER A FINITE FIELD 5 3*QUADRATIC RECIPROCITY LAW 6 APPENDIX
*ANOTHER PROOF OF THE QUADRATIC RECIPROCITY LAW 9 CHAPTER II* P-ADIC
FIELDS 11 1*THE RING Z P AND THE FIELD Q P 11 2*P-ADIC EQUATIONS 13
3*THE MULTIPLICATIVE GROUP OF Q P 15 CHAPTER ///*HILBERT SYMBOL 19
1*LOCAL PROPERTIES 19 2*GLOBAL PROPERTIES 23 CHAPTER IV* QUADRATIC FORMS
OVER Q P AND OVER Q 27 1*QUADRATIC FORMS 27 2*QUADRATIC FORMS OVER Q P
35 3*QUADRATIC FORMS OVER Q 41 APPENDIX *SUMS OF THREE SQUARES 45
CHAPTER V *INTEGRAL QUADRATIC FORMS WITH DISCRIMINANT 1 48
1*PRELIMINARIES 48 2*STATEMENT OF RESULTS 52 3*PROOFS 55 PART
II*ANALYTIC METHODS CHAPTER VI *THE THEOREM ON ARITHMETIC PROGRESSIONS
61 1*CHARACTERS OF FINITE ABELIAN GROUPS 61 2*DIRICHLET SERIES 64 3*ZETA
FUNCTION AND L FUNCTIONS 68 A *DENSITY AND DIRICHLET THEOREM 73 CHAPTER
VII* MODULAR FORMS 77 1*THE MODULAR GROUP 77 2*MODULAR FUNCTIONS 79
3*THE SPACE OF MODULAR FORMS 84 4*EXPANSIONS AT INFINITY 90 5*HECKE
OPERATORS 98 6*THETA FUNCTIONS 106 BIBLIOGRAPHY 112 INDEX OF DEFINITIONS
114 INDEX OF NOTATIONS 115
|
| any_adam_object | 1 |
| author | Serre, Jean-Pierre 1926- |
| author_GND | (DE-588)142283126 |
| author_facet | Serre, Jean-Pierre 1926- |
| author_role | aut |
| author_sort | Serre, Jean-Pierre 1926- |
| author_variant | j p s jps |
| building | Verbundindex |
| bvnumber | BV011182286 |
| callnumber-first | Q - Science |
| callnumber-label | QA243 |
| callnumber-raw | QA243.S4713 1996 |
| callnumber-search | QA243.S4713 1996 |
| callnumber-sort | QA 3243 S4713 41996 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)36187022 (DE-599)BVBBV011182286 |
| dewey-full | 512/.73 512/.7321 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.73 512/.73 21 |
| dewey-search | 512/.73 512/.73 21 |
| dewey-sort | 3512 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Corr. 5. printing |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:05:22Z |
| institution | BVB |
| isbn | 3540900403 0387900403 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007498985 |
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| owner_facet | DE-355 DE-BY-UBR DE-521 DE-11 |
| physical | VIII, 115 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Serre, Jean-Pierre 1926- Verfasser (DE-588)142283126 aut Cours d'arithmétique A course in arithmetic J.-P. Serre Corr. 5. printing New York [u.a.] Springer 1996 VIII, 115 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 7 Algebra larpcal Forms, Quadratic Analytic functions Analytische Zahlentheorie (DE-588)4001870-2 gnd rswk-swf Zahlkörper (DE-588)4067273-6 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Arithmetik (DE-588)4002919-0 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 s DE-604 Analytische Zahlentheorie (DE-588)4001870-2 s Zahlentheorie (DE-588)4067277-3 s Arithmetik (DE-588)4002919-0 s 1\p DE-604 Zahlkörper (DE-588)4067273-6 s 2\p DE-604 Graduate texts in mathematics 7 (DE-604)BV000000067 7 HEBIS Datenaustausch Mainz application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007498985&sequence=000001&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 |
| spellingShingle | Serre, Jean-Pierre 1926- A course in arithmetic Graduate texts in mathematics Algebra larpcal Forms, Quadratic Analytic functions Analytische Zahlentheorie (DE-588)4001870-2 gnd Zahlkörper (DE-588)4067273-6 gnd Zahlentheorie (DE-588)4067277-3 gnd Arithmetik (DE-588)4002919-0 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| subject_GND | (DE-588)4001870-2 (DE-588)4067273-6 (DE-588)4067277-3 (DE-588)4002919-0 (DE-588)4001170-7 |
| title | A course in arithmetic |
| title_alt | Cours d'arithmétique |
| title_auth | A course in arithmetic |
| title_exact_search | A course in arithmetic |
| title_full | A course in arithmetic J.-P. Serre |
| title_fullStr | A course in arithmetic J.-P. Serre |
| title_full_unstemmed | A course in arithmetic J.-P. Serre |
| title_short | A course in arithmetic |
| title_sort | a course in arithmetic |
| topic | Algebra larpcal Forms, Quadratic Analytic functions Analytische Zahlentheorie (DE-588)4001870-2 gnd Zahlkörper (DE-588)4067273-6 gnd Zahlentheorie (DE-588)4067277-3 gnd Arithmetik (DE-588)4002919-0 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| topic_facet | Algebra Forms, Quadratic Analytic functions Analytische Zahlentheorie Zahlkörper Zahlentheorie Arithmetik Algebraische Zahlentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007498985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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