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Solving the Pell Equation

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Cover of 'Solving the Pell Equation'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Early History of the Pell Equation
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    Chapter 3 Continued Fractions
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    Chapter 4 Quadratic Number Fields
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    Chapter 5 Ideals and Continued Fractions
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    Chapter 6 Some Special Pell Equations
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    Chapter 7 The Ideal Class Group
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    Chapter 8 The Analytic Class Number Formula
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    Chapter 9 Some Additional Analytic Results
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    Chapter 10 Some Computational Techniques
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    Chapter 11 ( f, p ) Representations of $$\mathcal{O}$$ -ideals
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    Chapter 12 Compact Representations
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    Chapter 13 The Subexponential Method
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    Chapter 14 Applications to Cryptography
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    Chapter 15 Unconditional Verification of the Regulator and the Class Number
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    Chapter 16 Principal Ideal Testing in $$\mathcal{O}$$
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    Chapter 17 Conclusion
Attention for Chapter 12: Compact Representations
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