Cyclotomic fields I and II /

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Bibliographic Details
Author / Creator:Lang, Serge, 1927-2005
Edition:Combined 2nd ed.
Imprint:New York : Springer-Verlag, c1990.
Description:xvii, 433 p. : ill. ; 25 cm.
Language:English
Series:Graduate texts in mathematics 121
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1040366
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ISBN:0387966714
Notes:Includes bibliographical references and index.
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