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Cyclotomic Fields I and II /

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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:
Mathematics.
Number theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of 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.