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Introduction To Cyclotomic Fields Book

Introduction To Cyclotomic Fields
Introduction To Cyclotomic Fields, This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, includ, Introduction To Cyclotomic Fields has a rating of 3 stars
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Introduction To Cyclotomic Fields, This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, includ, Introduction To Cyclotomic Fields
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  • Introduction To Cyclotomic Fields
  • Written by author L. C. Washington
  • Published by Springer-Verlag New York, LLC, December 1996
  • This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, includ
  • Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cy
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Preface to the Second Edition
Preface to the First Edition
Ch. 1Fermat's Last Theorem1
Ch. 2Basic Results9
Ch. 3Dirichlet Characters20
Ch. 4Dirichlet L-series and Class Number Formulas30
Ch. 5p-adic L-functions and Bernoulli Numbers47
Ch. 6Stickelberger's Theorem87
Ch. 7Iwasawa's Construction of p-adic L-functions113
Ch. 8Cyclotomic Units143
Ch. 9The Second Case of Fermat's Last Theorem167
Ch. 10Galois Groups Acting on Ideal Class Groups185
Ch. 11Cyclotomic Fields of Class Number One205
Ch. 12Measures and Distributions232
Ch. 13Iwasawa's Theory of Z[subscript p]-extensions264
Ch. 14The Kronecker-Weber Theorem321
Ch. 15The Main Conjecture and Annihilation of Class Groups332
Ch. 16Miscellany373
Appendix391
Tables407
Bibliography424
List of Symbols483
Index485


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Introduction To Cyclotomic Fields, This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, includ, Introduction To Cyclotomic Fields

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Introduction To Cyclotomic Fields, This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, includ, Introduction To Cyclotomic Fields

Introduction To Cyclotomic Fields

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Introduction To Cyclotomic Fields, This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, includ, Introduction To Cyclotomic Fields

Introduction To Cyclotomic Fields

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