Disjointness of Mobius from asymptotically periodic functions

被引：0

作者：

Wei, Fei ^{[1
]}

机构：

[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2022年 / 18卷 / 03期

基金：

中国博士后科学基金;

关键词：

Asymptotically periodic function; mean state; Mobius function; Sarnak's Mobius Disjointness Conjecture; MULTIPLICATIVE FUNCTIONS; ENTROPY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate Sarnak's Mobius Disjointness Conjecture through asymptotically periodic functions. It is shown that Sarnak's conjecture for rigid dynamical systems is equivalent to the disjointness of Mobius 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-Lemanczyk-Radziwill.

引用

页码：863 / 922

页数：60

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