Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
CIRM Jean-Morlet Chair, Fall 2016
Editors: Ferenczi, Sébastien, Kulaga-Przymus, Joanna, Lemańczyk, Mariusz (Eds.)
Free Preview- Features a unique, exhaustive list of results and methods concerning the Sarnak and Chowla conjectures
- Includes a course in analytic number theory accessible to undergraduate students
- Offers a clear presentation of the interaction of modern dynamics with number theory and combinatorics
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- About this book
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This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.
- Table of contents (19 chapters)
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Prime Numbers
Pages 3-10
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Arithmetic Functions
Pages 11-16
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Dirichlet Series
Pages 17-23
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Euler’s Gamma Function
Pages 25-26
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Riemann’s Zeta Function
Pages 27-52
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Table of contents (19 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
- Book Subtitle
- CIRM Jean-Morlet Chair, Fall 2016
- Editors
-
- Sébastien Ferenczi
- Joanna Kulaga-Przymus
- Mariusz Lemańczyk
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 2213
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG, part of Springer Nature
- eBook ISBN
- 978-3-319-74908-2
- DOI
- 10.1007/978-3-319-74908-2
- Softcover ISBN
- 978-3-319-74907-5
- Series ISSN
- 0075-8434
- Edition Number
- 1
- Number of Pages
- IV, 434
- Number of Illustrations
- 223 b/w illustrations, 8 illustrations in colour
- Topics
