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Sarnak's conjecture implies the Chowla conjecture along a subsequence

Published 19 Oct 2017 in math.NT and math.DS | (1710.07049v1)

Abstract: We show that the M\"obius 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 M\"obius function holds.

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