Disjointness of Möbius from asymptotically periodic functions
arXiv:1810.07360 · doi:10.4310/PAMQ.2022.v18.n3.a3
Abstract
We investigate Sarnak's Möbius Disjointness Conjecture through asymptotically periodic functions. It is shown that Sarnak's conjecture for rigid dynamical systems is equivalent to the disjointness of Möbius from asymptotically periodic functions. We give sufficient conditions and a partial answer to the later one. As an application, we show that Sarnak's conjecture holds for a class of rigid dynamical systems, which improves an earlier result of Kanigowski-Lema{ń}czyk-Radziwiłł.
arXiv comment47 pages, this paper was recently published in Pure and Applied Mathematics Quarterly
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