Introduction to Cyclotomic Fields
Language: English
Published by Springer-Verlag New York Inc., US, 1996
- Hardcover
- New
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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.
Seller Inventory # LU-9780387947624
- Title
- Introduction to Cyclotomic Fields
- Author
- Lawrence C. Washington
- Publisher
- Springer-Verlag New York Inc., US
- Publication year
- 1996
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0387947620
- ISBN 13
- 9780387947624
- Edition
- Second Edition 1997.
- Dimensions
- 15.6 x 2.87 x 23.39 cm
This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture, as well as a chapter on other recent developments, such as primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant.
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