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Disjointness of M\"{o}bius from asymptotically periodic functions. (arXiv:1810.07360v1 [math.NT])
来源于:arXiv
In this paper, we introduce asymptotically periodic functions and study these
functions from the point of view of operator algebras and dynamical systems. We
show that the M\"{o}bius function is disjoint from any strongly asymptotically
periodic functions. As a consequence, Sarnak's M\"{o}bius Disjointness
Conjecture holds for all countable compact spaces. Whenever Sarnak's conjecture
holds, we show that the M\"{o}bius function is disjoint from all asymptotically
periodic functions. 查看全文>>