Introduction to cyclotomic fields / Lawrence C. Washington.

Format:

Book

Author/Creator:

Washington, Lawrence C.

Series:

Graduate texts in mathematics ; 83.

Graduate texts in mathematics ; 83

Language:

English

Subjects (All):

Algebraic fields.

Cyclotomy.

Physical Description:

xiv, 487 pages : illustrations ; 25 cm.

Edition:

Second edition.

Place of Publication:

New York : Springer, 1996.

Summary:

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.

Notes:

Includes bibliographical references and index.

ISBN:

0387947620

OCLC:

59667129