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Quadratic Residues and Non-Residues

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Cover of 'Quadratic Residues and Non-Residues'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction: Solving the General Quadratic Congruence Modulo a Prime
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    Chapter 2 Basic Facts
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    Chapter 3 Gauss’ Theorema Aureum : The Law of Quadratic Reciprocity
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    Chapter 4 Four Interesting Applications of Quadratic Reciprocity
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    Chapter 5 The Zeta Function of an Algebraic Number Field and Some Applications
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    Chapter 6 Elementary Proofs
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    Chapter 7 Dirichlet L -Functions and the Distribution of Quadratic Residues
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    Chapter 8 Dirichlet’s Class-Number Formula
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    Chapter 9 Quadratic Residues and Non-Residues in Arithmetic Progression
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    Chapter 10 Are Quadratic Residues Randomly Distributed?
Attention for Chapter 2: Basic Facts
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