On Furstenberg systems of aperiodic multiplicative functions of Matomäki, Radziwiłł, and Tao

Author:

Gomilko Alexander,Lemańczyk Mariusz,de la Rue Thierry

Abstract

<p style='text-indent:20px;'>It is shown that in a class of counterexamples to Elliott's conjecture by Matomäki, Radziwiłł, and Tao [<xref ref-type="bibr" rid="b23">23</xref>] the Chowla conjecture holds along a subsequence.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Algebra and Number Theory,Analysis,Applied Mathematics,Algebra and Number Theory,Analysis

Reference30 articles.

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3. American Institute of Mathematics, workshop, Sarnak's Conjecture, December 2018. Available from: http://aimpl.org/sarnakconjecture/3/.

4. V. Bergelson, J. Kulaga-Przymus, M. Lemańczyk, F. K. Richter.Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics, Ergodic Theory Dynam. Systems, 39 (2019), 2332-2383.

5. S. Chowla, The Riemann Hypothesis and Hilbert's Tenth Problem, Mathematics and Its Applications 4, Gordon and Breach Science Publishers, New York-London-Paris, 1965.

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