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Cyclotomic Fields I and II

Serge Lang
Publisher: 
Springer Verlag
Publication Date: 
1990
Number of Pages: 
460
Format: 
Hardcover
Edition: 
2
Series: 
Graduate Texts in Mathematics 121
Price: 
79.95
ISBN: 
0-387-96671-4
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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 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.

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