Buch
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
-CIRM Jean-Morlet Chair, Fall 2016-Sébastien Ferenczi; Joanna Kułaga-Przymus; Mariusz Lemańczyk (Hrsg.)
74,89
EUR
Lieferzeit 12-13 Tage
Übersicht
Verlag | : | Springer International Publishing |
Buchreihe | : | Lecture Notes in Mathematics (Bd. 2213) |
Sprache | : | Englisch |
Erschienen | : | 16. 06. 2018 |
Seiten | : | 418 |
Einband | : | Kartoniert |
Höhe | : | 235 mm |
Breite | : | 155 mm |
ISBN | : | 9783319749075 |
Sprache | : | Englisch |
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Inhaltsverzeichnis
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.