Representations of Integers as Sums of Squares

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 Preliminaries
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   Chapter 3 Sums of Two Squares
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   Chapter 4 Triangular Numbers and the Representation of Integers as Sums of Four Squares
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   Chapter 5 Representations as Sums of Three Squares
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   Chapter 6 Legendre’s Theorem
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   Chapter 7 Representations of Integers as Sums of Nonvanishing Squares
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   Chapter 8 The Problem of the Uniqueness of Essentially Distinct Representations
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    Chapter 9 Theta Functions
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    Chapter 10 Representations of Integers as Sums of an Even Number of Squares
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    Chapter 11 Various Results on Representations as Sums of Squares
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    Chapter 12 Preliminaries to the Circle Method and the Method of Modular Functions
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    Chapter 13 The Circle Method
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    Chapter 14 Alternative Methods for Evaluating r s ( n )
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    Chapter 15 Recent Work