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Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics

Overview of attention for book
Cover of 'Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics'

Table of Contents

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    Book Overview
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    Chapter 1 Prime Numbers
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    Chapter 2 Arithmetic Functions
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    Chapter 3 Dirichlet Series
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    Chapter 4 Euler’s Gamma Function
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    Chapter 5 Riemann’s Zeta Function
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    Chapter 6 The Large Sieve
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    Chapter 7 The Theorem of Vinogradov
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    Chapter 8 The van der Corput Method
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    Chapter 9 A Brief Guide to Reversing and Extended Symmetries of Dynamical Systems
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    Chapter 10 Kloosterman Sums, Disjointness, and Equidistribution
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    Chapter 11 Sarnak’s Conjecture: What’s New
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    Chapter 12 Sarnak’s Conjecture Implies the Chowla Conjecture Along a Subsequence
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    Chapter 13 On the Logarithmic Probability That a Random Integral Ideal Is A $$ \pmb{\mathcal A}$$ -Free
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    Chapter 14 The Lagrange and Markov Spectra from the Dynamical Point of View
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    Chapter 15 On the Missing Log Factor
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    Chapter 16 Chowla’s Conjecture: From the Liouville Function to the Moebius Function
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    Chapter 17 Weak Mixing for Infinite Measure Invertible Transformations
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    Chapter 18 More on Tame Dynamical Systems
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    Chapter 19 A Piecewise Rotation of the Circle, IPR Maps and Their Connection with Translation Surfaces
Attention for Chapter 8: The van der Corput Method
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