P-adic numbers, p-adic analysis, and zeta-functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
1996
|
| Ausgabe: | 2. ed., 2., corr. print |
| Schriftenreihe: | Graduate texts in mathematics
58 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 150 S. Ill., graph. Darst. |
| ISBN: | 3540960171 0387960171 |
Internformat
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Datensatz im Suchindex
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| adam_text |
NEAL KOBLITZ /7-ADIC NUMBERS, P-ADIC ANALYSIS, AND ZETA-FUNCTIONS SECOND
EDITION SPRINGER CONTENTS CHAPTER I P-ADIC NUMBERS 1. BASIC CONCEPTS 2.
METRICS ON THE RATIONAL NUMBERS EXERCISES 3. REVIEW OF BUILDING UP THE
COMPLEX NUMBERS 4. THE FIELD OF P-ADIC NUMBERS 5. ARITHMETIC IN Q P
EXERCISES CHAPTER II P-ADIC INTERPOLATION OF THE RIEMANN ZETA-FUNCTION
1. A FORMULA FOR (.(2K) 2. P-ADIC INTERPOLATION OF THE FUNCTION/($) = A'
EXERCISES 3. P-ADIC DISTRIBUTIONS EXERCISES 4. BERNOULLI DISTRIBUTIONS
5. MEASURES AND INTEGRATION EXERCISES 6. THE P-ADIC -FUNCTION AS A
MEILIN-MAZUR TRANSFORM 7. A BRIEF SURVEY (NO PROOFS) EXERCISES CHAPTER
III BUILDING UP FL 1. FINITE FIELDS EXERCISES CONTENTS 2. EXTENSION OF
NORMS EXERCISES 3. THE ALGEBRAIC CLOSURE OF Q P 4. N EXERCISES CHAPTER
IV P-ADIC POWER SERIES 1. ELEMENTARY FUNCTIONS EXERCISES 2. THE
LOGARITHM, GAMMA AND ARTIN-HASSE EXPONENTIAL FUNCTIONS EXERCISES 3.
NEWTON POLYGONS FOR POLYNOMIALS 4. NEWTON POLYGONS FOR POWER SERIES
EXERCISES 57 65 66 71 73 76 76 83 87 95 97 98 107 CHAPTER V RATIONALITY
OF THE ZETA-FUNCTION OF A SET OF EQUATIONS OVER A FINITE FIELD 109 1.
HYPERSURFACES AND THEIR ZETA-FUNCTIONS 109 EXERCISES 114 2. CHARACTERS
AND THEIR LIFTING 116 3. A LINEAR MAP ON THE VECTOR SPACE OF POWER
SERIES 118 4. P-ADIC ANALYTIC EXPRESSION FOR THE ZETA-FUNCTION 122
EXERCISES 124 5. THE END OF THE PROOF 125 BIBLIOGRAPHY 129 ANSWERS AND
HINTS FOR THE EXERCISES 133 INDEX 147 XN |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.74 |
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| discipline | Mathematik |
| edition | 2. ed., 2., corr. print |
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| id | DE-604.BV011146999 |
| illustrated | Illustrated |
| indexdate | 2025-03-03T13:02:17Z |
| institution | BVB |
| isbn | 3540960171 0387960171 |
| language | German |
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| physical | XII, 150 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
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| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Koblitz, Neal 1948- Verfasser (DE-588)108974820 aut P-adic numbers, p-adic analysis, and zeta-functions Neal Koblitz 2. ed., 2., corr. print New York, NY [u.a.] Springer 1996 XII, 150 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 58 Functions, Zeta p-adic analysis p-adic numbers p-adische Analysis (DE-588)4252360-6 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 gnd rswk-swf Zetafunktion (DE-588)4190764-4 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content p-adische Analysis (DE-588)4252360-6 s DE-604 p-adische Zahl (DE-588)4044292-5 s Zetafunktion (DE-588)4190764-4 s 1\p DE-604 Graduate texts in mathematics 58 (DE-604)BV000000067 58 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007471632&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 |
| spellingShingle | Koblitz, Neal 1948- P-adic numbers, p-adic analysis, and zeta-functions Graduate texts in mathematics Functions, Zeta p-adic analysis p-adic numbers p-adische Analysis (DE-588)4252360-6 gnd p-adische Zahl (DE-588)4044292-5 gnd Zetafunktion (DE-588)4190764-4 gnd |
| subject_GND | (DE-588)4252360-6 (DE-588)4044292-5 (DE-588)4190764-4 (DE-588)4123623-3 |
| title | P-adic numbers, p-adic analysis, and zeta-functions |
| title_auth | P-adic numbers, p-adic analysis, and zeta-functions |
| title_exact_search | P-adic numbers, p-adic analysis, and zeta-functions |
| title_full | P-adic numbers, p-adic analysis, and zeta-functions Neal Koblitz |
| title_fullStr | P-adic numbers, p-adic analysis, and zeta-functions Neal Koblitz |
| title_full_unstemmed | P-adic numbers, p-adic analysis, and zeta-functions Neal Koblitz |
| title_short | P-adic numbers, p-adic analysis, and zeta-functions |
| title_sort | p adic numbers p adic analysis and zeta functions |
| topic | Functions, Zeta p-adic analysis p-adic numbers p-adische Analysis (DE-588)4252360-6 gnd p-adische Zahl (DE-588)4044292-5 gnd Zetafunktion (DE-588)4190764-4 gnd |
| topic_facet | Functions, Zeta p-adic analysis p-adic numbers p-adische Analysis p-adische Zahl Zetafunktion Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007471632&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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