Introduction to Cyclotomic Fields: 83 (Graduate Texts in Mathematics) - Softcover

Washington, Lawrence C. C.

 
9781461273462: Introduction to Cyclotomic Fields: 83 (Graduate Texts in Mathematics)
Softcover
ISBN 10: 1461273463 ISBN 13: 9781461273462
Verlag: Springer, 2012

Inhaltsangabe

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.

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Reseña del editor

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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Verlag
Springer
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
1461273463
ISBN 13 
9781461273462
Einband
Tapa blanda
Auflage
2
Anzahl der Seiten
508
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9780387947624: Introduction to Cyclotomic Fields: 83 (Graduate Texts in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387947620 ISBN 13:  9780387947624
Verlag: Springer, 1997
Hardcover