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Algebraic Number Theory

Overview of attention for book
Cover of 'Algebraic Number Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Algebraic Integers
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    Chapter 2 Completions
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    Chapter 3 The Different and Discriminant
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    Chapter 4 Cyclotomic Fields
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    Chapter 5 Parallelotopes
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    Chapter 6 The Ideal Function
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    Chapter 7 Ideles and Adeles
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    Chapter 8 Elementary Properties of the Zeta Function and L -series
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    Chapter 9 Norm Index Computations
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    Chapter 10 The Artin Symbol, Reciprocity Law, and Class Field Theory
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    Chapter 11 The Existence Theorem and Local Class Field Theory
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    Chapter 12 L -Series Again
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    Chapter 13 Functional Equation of the Zeta Function, Hecke’s Proof
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    Chapter 14 Functional Equation, Tate’s Thesis
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    Chapter 15 Density of Primes and Tauberian Theorem
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    Chapter 16 The Brauer-Siegel Theorem
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    Chapter 17 Explicit Formulas
Attention for Chapter 8: Elementary Properties of the Zeta Function and L -series
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