Equidistribution in Number Theory, An Introduction

Table of Contents

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   Book Overview
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   Chapter 1 UNIFORM DISTRIBUTION
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   Chapter 2 SIEVING AND THE ERDŐS–KAC THEOREM
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   Chapter 3 UNIFORM DISTRIBUTION, EXPONENTIAL SUMS, AND CRYPTOGRAPHY
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   Chapter 4 THE DISTRIBUTION OF PRIME NUMBERS
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   Chapter 5 TORSION POINTS ON CURVES
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   Chapter 6 THE DISTRIBUTION OF ROOTS OF A POLYNOMIAL
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   Chapter 7 MANIN–MUMFORD, ANDRÉ–OORT, THE EQUIDISTRIBUTION POINT OF VIEW
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   Chapter 8 ANALYTIC METHODS FOR THE DISTRIBUTION OF RATIONAL POINTS ON ALGEBRAIC VARIETIES
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    Chapter 9 UNIVERSAL TORSORS OVER DEL PEZZO SURFACES AND RATIONAL POINTS
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    Chapter 10 AN INTRODUCTION TO THE LINNIK PROBLEMS
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    Chapter 11 DISTRIBUTION MODULO ONE AND RATNER’S THEOREM
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    Chapter 12 SPECTRAL THEORY OF AUTOMORPHIC FORMS: A VERY BRIEF INTRODUCTION
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    Chapter 13 SOME EXAMPLES HOWTO USE MEASURE CLASSIFICATION IN NUMBER THEORY
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    Chapter 14 AN INTRODUCTION TO QUANTUM EQUIDISTRIBUTION
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    Chapter 15 THE ARITHMETIC THEORY OF QUANTUM MAPS