Introduction to Cyclotomic Fields /
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, a...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York : Imprint : Springer,
1997.
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| Edition: | Second edition. |
| Series: | Graduate texts in mathematics ;
83. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (XIV, 487 pages 9 illustrations) |
| ISBN: | 9781461219347 (electronic bk.) 1461219345 (electronic bk.) |