Introduction to Cyclotomic Fields Hardcover - 1996
by Lawrence C. Washington
From the rear cover
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(subscript 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 (mu)-invariant.
Details
- Title Introduction to Cyclotomic Fields
- Author Lawrence C. Washington
- Binding Hardcover
- Edition 2nd
- Pages 490
- Volumes 1
- Language ENG
- Publisher Springer
- Date 1996-12-05
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- ISBN 9780387947624 / 0387947620
- Weight 1.85 lbs (0.84 kg)
- Dimensions 9.51 x 6.32 x 1.1 in (24.16 x 16.05 x 2.79 cm)
- Library of Congress subjects Algebraic fields, Cyclotomy
- Library of Congress Catalog Number 96013169
- Dewey Decimal Code 512.74
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