Analytic Number Theory and Diophantine Problems

Table of Contents

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   Book Overview
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   Chapter 1 Multiplicative Functions and Small Divisors
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   Chapter 2 Lectures on the Thue Principle
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   Chapter 3 Polynomials with Low Height and Prescribed Vanishing
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   Chapter 4 On Irregularities of Distribution and Approximate Evaluation of Certain Functions II
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   Chapter 5 Simple Zeros of the Zeta-Function of a Quadratic Number Field, II
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   Chapter 6 Differential Difference Equations Associated with Sieves
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   Chapter 7 Primes in Arithmetic Progressions and Related Topics
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   Chapter 8 Applications of Guinand’s Formula
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    Chapter 9 Analytic Number Theory on GL(r,R)
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    Chapter 10 Pair Correlation of Zeros and Primes in Short Intervals
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    Chapter 11 One and Two Dimensional Exponential Sums
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    Chapter 12 Non-Vanishing of Certain Values of L -Functions
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    Chapter 13 On Averages of Exponential Sums over Primes
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    Chapter 14 The Distribution of Ω(n) among Numbers with No Large Prime Factors
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    Chapter 15 On the Size of $$\sum\limits_{\text{n} \leqslant \text{x}} {\text{d(n)e(nx)}}$$
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    Chapter 16 Another Note on Baker’s Theorem
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    Chapter 17 Sums of Polygonal Numbers
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    Chapter 18 On the Density of B 2 -Bases
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    Chapter 19 Statistical Properties of Eigenvalues of the Hecke Operators
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    Chapter 20 Transcendence Theory Over Non-Local Fields