Sarnak's conjecture implies the Chowla conjecture along a subsequence

Abstract

We show that the Möbius disjointess of zero entropy dynamical systems implies the existence of an increasing sequence of positive integers along which the Chowla conjecture on autocorrelations of the Möbius function holds.

Proceedings of the Chair Morlet semester "Ergodic Theory and Dynamical Systems in their Interactions with Arithmetic and Combinatorics" 1.08.2016--31.01.2017, Springer, to appear