Introduction to Cyclotomic Fields

Washington, Lawrence C.

ISBN 10: 0387947620 / ISBN 13: 9780387947624

Published by Springer, 1996

About this Item

Seller Inventory # 671760-n

Bibliographic Details

• Title: Introduction to Cyclotomic Fields
• Publisher: Springer
• Publication Date: 1996
• Language: English
• ISBN 10: 0387947620
• ISBN 13: 9780387947624
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: New

About this title

Synopsis

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.

From the Back 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.