Analytic Number Theory

Table of Contents

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   Book Overview
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   Chapter 1 CM-Points on Straight Lines
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   Chapter 2 Maass Waveforms and Low-Lying Zeros
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   Chapter 3 Théorème de Jordan Friable
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   Chapter 4 On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms
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   Chapter 5 Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers
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   Chapter 6 On the Parity of the Number of Small Divisors of n
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   Chapter 7 Counting Primes in Arithmetic Progressions
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   Chapter 8 Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers
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    Chapter 9 Spirals of the Zeta Function I
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    Chapter 10 Best Possible Densities of Dickson m-Tuples, as a Consequence of Zhang–Maynard–Tao
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    Chapter 11 A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions
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    Chapter 12 Large Values of the Zeta-Function on the Critical Line
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    Chapter 13 A Note on Bessel Twists of L-Functions
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    Chapter 14 The Sound of Fractal Strings and the Riemann Hypothesis
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    Chapter 15 Sums of Two Squares in Short Intervals
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    Chapter 16 Infinite Sumsets with Many Representations
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    Chapter 17 On the Ratio of Consecutive Gaps Between Primes
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    Chapter 18 Remarks on Fibers of the Sum-of-Divisors Function
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    Chapter 19 On Amicable Numbers
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    Chapter 20 Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform
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    Chapter 21 On Arithmetic Properties of Products and Shifted Products
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    Chapter 22 Narrow Progressions in the Primes