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Introduction to Cyclotomic Fields (Graduate Texts in Mathematics, 83, Band 83) - Hardcover

Washington, Lawrence C.

 
9780387947624: Introduction to Cyclotomic Fields (Graduate Texts in Mathematics, 83, Band 83)
Hardcover
ISBN 10: 0387947620 ISBN 13: 9780387947624
Verlag: Springer, 1996

Inhaltsangabe

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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Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
1996
Sprache
Englisch
ISBN 10 
0387947620
ISBN 13 
9780387947624
Einband
Gebundene Ausgabe
Auflage
2
Anzahl der Seiten
504
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