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Introduction to Cyclotomic Fields

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Cover of 'Introduction to Cyclotomic Fields'

Table of Contents

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    Book Overview
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    Chapter 1 Fermat’s Last Theorem
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    Chapter 2 Basic Results
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    Chapter 3 Dirichlet Characters
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    Chapter 4 Dirichlet L -series and Class Number Formulas
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    Chapter 5 p -adic L -functions and Bernoulli Numbers
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    Chapter 6 Stickelberger’s Theorem
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    Chapter 7 Iwasawa’s Construction of p -adic L -functions
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    Chapter 8 Cyclotomic Units
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    Chapter 9 The Second Case of Fermat’s Last Theorem
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    Chapter 10 Galois Groups Acting on Ideal Class Groups
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    Chapter 11 Cyclotomic Fields of Class Number One
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    Chapter 12 Measures and Distributions
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    Chapter 13 Iwasawa’s Theory of ℤ-extensions
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    Chapter 14 The Kronecker—Weber Theorem
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    Chapter 15 The Main Conjecture and Annihilation of Class Groups
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    Chapter 16 Miscellany
Attention for Chapter 5: p -adic L -functions and Bernoulli Numbers
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