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

Table of Contents

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