Cover of Introduction to Cyclotomic Fields by Washington, Lawrence C., ISBN 9780387947624
Number Theory

Introduction to Cyclotomic Fields

INTRO TO CYCLOTOMIC FIELDS 199

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Hardback ยท ISBN 9780387947624

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Key Specifications

ISBN 9780387947624
Subtitle INTRO TO CYCLOTOMIC FIELDS 199
Publisher Springer
Publication date January 1997
Language English
MRP ยฃ59.99 GBP
Page count 508
Item weight 195 g
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.