Cyclotomic fields I and II /
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Author / Creator: | Lang, Serge, 1927-2005 |
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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 |
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