Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics: CIRM
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- Artikel-Nr.: 10463530
Beschreibung
Part I. Bases of Analytic Number Theory.- 1. Prime Numbers.- 2. Arithmetic Functions.- 3. Dirichlet Series.- 4. Euler's Gamma Function.- 5. Riemann's Zeta Function.- 6. The Large Sieve.- 7. The Theorem of Vinogradov.- 8. The van der Corput Method.- Part II. Interactions Between Arithmetics and Dynamics.- 9. A Brief Guide to Reversing and Extended Symmetries of Dynamical Systems.- 10. Kloosterman Sums, Disjointness, and Equidistribution.- 11. Sarnak's Conjecture - what's new.- 12. Sarnak's Conjecture Implies the Chowla Conjecture Along a Subsequence.- 13. On the Logarithmic Probability that a Random Integral Ideal is A-free.- 14. The Lagrange and Markov Spectra from the Dynamical Point of View.- 15. On the missing Log Factor.- 16. Chowla's Conjecture: From the Liouville Function to the Moebius Function.- Part III. Selected Topics in Dynamics.- 17. Weak Mixing for Infinite Measure Invertible Transformations.- 18. More on Tame Dynamical Systems.- 19. A Piecewise Rotation of the Circle, IPR Maps and Their Connection with Translation Surfaces.
Eigenschaften
Breite: | 156 |
Gewicht: | 674 g |
Höhe: | 236 |
Länge: | 25 |
Seiten: | 434 |
Sprachen: | Englisch |
Autor: | Joanna Kulaga-Przymus, Mariusz Lemanczyk, Sébastien Ferenczi |
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