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Representations of Integers as Sums of Squares

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Cover of '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
Attention for Chapter 6: Legendre’s Theorem
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Summary
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Chapter title
Legendre’s Theorem
Chapter number 6
Book title
Representations of Integers as Sums of Squares
Published by
Springer, New York, NY, January 1985
DOI 10.1007/978-1-4613-8566-0_6
Book ISBNs
978-1-4613-8568-4, 978-1-4613-8566-0
Authors

Emil Grosswald, Grosswald, Emil

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