Cyclotomic Fields I and II /

This book is a combined edition of the books previously published as Cyclotomic Fields, Vol. I and II. It continues to provide a basic introduction to the theory of these number fields, which are of great interest in classical number theory, as well as in other areas, such as K-theory. Cyclotomic Fi...

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Bibliographic Details
Main Author: Lang, Serge
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1990.
Edition:Combined Second edition.
Series:Graduate texts in mathematics ; 121.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:This book is a combined edition of the books previously published as Cyclotomic Fields, Vol. I and II. It continues to provide a basic introduction to the theory of these number fields, which are of great interest in classical number theory, as well as in other areas, such as K-theory. Cyclotomic Fields begins with basic material on character sums, and proceeds to treat class number formulas, p-adic L-functions, Iwasawa theory, Lubin-Tate theory, and explicit reciprocity laws, and the Ferrero-Washington theorems, which prove Iwasawa's conjecture on the growth of the p-primary part of the ideal class group.
Item Description:Electronic resource.
Physical Description:1 online resource (xvii, 436 pages)
ISBN:9781461209874 (electronic bk.)
1461209870 (electronic bk.)
ISSN:0072-5285 ;