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

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Cover of 'Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics'

Table of Contents

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

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Summary Dimensions citations
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Chapter title
Sarnak’s Conjecture: What’s New
Chapter number 11
Book title
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
Published by
Springer, Cham, January 2018
DOI 10.1007/978-3-319-74908-2_11
Book ISBNs
978-3-31-974907-5, 978-3-31-974908-2
Authors

Sébastien Ferenczi, Joanna Kułaga-Przymus, Mariusz Lemańczyk, Ferenczi, Sébastien, Kułaga-Przymus, Joanna, Lemańczyk, Mariusz

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 9 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 9 100%

Demographic breakdown

Readers by professional status Count As %
Professor 3 33%
Other 2 22%
Lecturer 1 11%
Student > Ph. D. Student 1 11%
Researcher 1 11%
Other 0 0%
Unknown 1 11%
Readers by discipline Count As %
Mathematics 6 67%
Linguistics 1 11%
Psychology 1 11%
Unknown 1 11%

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