Acounter-example for polynomial version ofSarnak's conjecture

被引：5
作者：
Lian, Zhengxing [1 ]
Shi, Ruxi [2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[2] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland
来源：
ADVANCES IN MATHEMATICS | 2021年 / 384卷
关键词：
Mobius function; Sarnak conjecture; Polynomial orbits; Toeplitz system; Odometer;
D O I：
10.1016/j.aim.2021.107765
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the counter-example for polynomial version of Sarnak's conjecture for minimal systems, which assets that the Mobius function is linearly disjoint from subsequences along polynomials of deterministic sequences realized in minimal systems. Our example is in the class of Toeplitz systems, which are minimal. (C) 2021 Elsevier Inc. All rights reserved.
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页数：14
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