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Introduction to Cyclotomic Fields - Hardcover

 
9783540906223: Introduction to Cyclotomic Fields

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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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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.

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9780387906225: Introduction to Cyclotomic Fields (Graduate Texts in Mathematics)

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ISBN 10:  0387906223 ISBN 13:  9780387906225
Publisher: Springer Verlag, 1982
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Washington, L. C.;
Published by New York. Springer-Verlag., 1982
ISBN 10: 3540906223 ISBN 13: 9783540906223
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Karton. Condition: Sehr gut. Zust: Gutes Exemplar. 389 Seiten, mit Abbildungen, Englisch 730g. Seller Inventory # 494999

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