Introduction to Cyclotomic Fields:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1997
|
| Edition: | Second Edition |
| Series: | Graduate Texts in Mathematics
83 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included. The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant |
| Physical Description: | 1 Online-Ressource (XIV, 490 p) |
| ISBN: | 9781461219347 9781461273462 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-1934-7 |
Staff View
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| edition | Second Edition |
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| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461219347 9781461273462 |
| issn | 0072-5285 |
| language | English |
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| spelling | Washington, Lawrence C. 1951- Verfasser (DE-588)1033730076 aut Introduction to Cyclotomic Fields by Lawrence C. Washington Second Edition New York, NY Springer New York 1997 1 Online-Ressource (XIV, 490 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 83 0072-5285 Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included. The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant Mathematics Number theory Number Theory Mathematik Algebraischer Zahlkörper (DE-588)4068537-8 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Kreiskörper (DE-588)4165607-6 gnd rswk-swf Kreiskörper (DE-588)4165607-6 s 1\p DE-604 Algebraische Zahlentheorie (DE-588)4001170-7 s 2\p DE-604 Algebraischer Zahlkörper (DE-588)4068537-8 s 3\p DE-604 https://doi.org/10.1007/978-1-4612-1934-7 Verlag Volltext 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 | Washington, Lawrence C. 1951- Introduction to Cyclotomic Fields Mathematics Number theory Number Theory Mathematik Algebraischer Zahlkörper (DE-588)4068537-8 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Kreiskörper (DE-588)4165607-6 gnd |
| subject_GND | (DE-588)4068537-8 (DE-588)4001170-7 (DE-588)4165607-6 |
| title | Introduction to Cyclotomic Fields |
| title_auth | Introduction to Cyclotomic Fields |
| title_exact_search | Introduction to Cyclotomic Fields |
| title_full | Introduction to Cyclotomic Fields by Lawrence C. Washington |
| title_fullStr | Introduction to Cyclotomic Fields by Lawrence C. Washington |
| title_full_unstemmed | Introduction to Cyclotomic Fields by Lawrence C. Washington |
| title_short | Introduction to Cyclotomic Fields |
| title_sort | introduction to cyclotomic fields |
| topic | Mathematics Number theory Number Theory Mathematik Algebraischer Zahlkörper (DE-588)4068537-8 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Kreiskörper (DE-588)4165607-6 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik Algebraischer Zahlkörper Algebraische Zahlentheorie Kreiskörper |
| url | https://doi.org/10.1007/978-1-4612-1934-7 |
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