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Cyclotomic Fields I and II

Author: Serge Lang
Publisher: New York, NY : Springer New York, 1990.
Series: Graduate texts in mathematics, 121.
Edition/Format:   eBook : Document : English : Combined Second editionView all editions and formats
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,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Serge Lang
ISBN: 9781461209874 1461209870
OCLC Number: 853269707
Description: 1 online resource (xvii, 436 pages).
Contents: Character Sums --
Stickelberger Ideals and Bernoulli Distributions --
Complex Analytic Class Number Formulas --
The p-adic L-function --
Iwasawa Theory and Ideal Class Groups --
Kummer Theory over Cyclotomic Zp-extensions --
Iwasawa Theory of Local Units --
Lubin-Tate Theory --
Explicit Reciprocity Laws --
Measures and Iwasawa Power Series --
The Ferrero-Washington Theorems --
Measures in the Composite Case --
Divisibility of Ideal Class Numbers --
p-adic Preliminaries --
The Gamma Function and Gauss Sums --
Gauss Sums and the Artin-Schreier Curve --
Gauss Sums as Distributions --
Appendix: The Main Conjecture --
Bibliography --
Index.
Series Title: Graduate texts in mathematics, 121.
Responsibility: by Serge Lang.

Abstract:

Combining the works previously published as Cyclotomic Fields, V. I & II, this book introduces these number fields, which are of great interest in classical number theory and other areas such as  Read more...

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