A polynomial version of Sarnak's conjecture

被引：9
|
作者：
Eisner, Tanja [1 ]
机构：
[1] Univ Leipzig, Inst Math, D-04009 Leipzig, Germany
来源：
COMPTES RENDUS MATHEMATIQUE | 2015年 / 353卷 / 07期
关键词：
ERGODIC AVERAGES; MOBIUS FUNCTION; CONVERGENCE; BEHAVIOR; THEOREMS;
D O I：
10.1016/j.crma.2015.04.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Motivated by the variations of Sarnak's conjecture due to El Abdalaoui, Kulaga-Przymus, Lemanczyk, de la Rue and by the observation that the Mobius function is a good weight (with limit zero) for the polynomial pointwise ergodic theorem, we introduce a polynomial version of the Sarnak conjecture for minimal systems. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：569 / 572
页数：4
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