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Viser: Ergodic Theory and Dynamical Systems in Their Interactions with Arithmetics and Combinatorics
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics Vital Source e-bog
Sébastien Ferenczi
(2018)
Ergodic Theory and Dynamical Systems in Their Interactions with Arithmetics and Combinatorics
Sébastien Ferenczi, Joanna KuÅ?aga-Przymus og Mariusz LemaÅ?czyk
(2018)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (Juni 2018)
- ISBN: 9783319749082
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- 1. Udgave
- Hardback
- Udgiver: Springer International Publishing AG (Juni 2018)
- Forfattere: Sébastien Ferenczi, Joanna KuÅ?aga-Przymus og Mariusz LemaÅ?czyk
- ISBN: 9783319749075
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.