Leman´czyk, Sarnak's conjecture - what's new, arXiv:1710.04039, (to appear).S. Ferenczi, J. Kulaga-Przymus, and M. Lemanczyk. Sarnak's conjecture - what's new. arXiv:1710.04039 [math.DS].S. Ferenczi, J. Kulaga-Przymus, M. Lemańczyk, Sarnak's conjecture: what's new, ...
Sarnak's Conjecture -- what's new An overview of last seven years results concerning Sarnak's conjecture on\nM\"obius disjointness is presented, focusing on ergodic theory aspects of the\nc... S Ferenczi,J Kuaga-Przymus,M Lemańczyk - arXiv e-prints 被引量: 0发表: 2017年 Sarnak's ...
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【主题】Sarnak's conjecture and partition regularity problem 【时间】2019年12月31日(周二)10:00-11:00 【主讲】Prof. Sun Wenbo(Virginia Tech)【地点】Room 1513, Science Building No.1, Peking University û收藏 转发 评论 ñ赞 评论 o p 同时转发到我的微博 按热度 按...
(The Möbius Disjointness Conjecture):Möbius函数与零熵的流F是"linearly disjoint"的. 目前我们所得到的关于此猜想成立的流都满足零熵这一条件(关于拓扑熵的定义,可以参阅Tao的博客文章[]或者维基百科页面Topological entropy). 同时还有个有意思的事情是Chowla猜想可以推出Sarnak的Möbius Disjointness猜想,也就是...
(B) (Artin’s primitive root conjecture): If b = ±1 or a perfect square then b is a primitive root for infinitely many primes p [ Ho]. (C) Ramanujan points out that congruence tests prevent x 2 +y 2 +10z 2 representing any positive integer of the form 4 ...
[5] Jiang Y, Lü G, Wang Z. Exponential sums with multiplicative coefficients without the Ramanujan conjecture. Math Ann, 2021, 379: 589-632 [6] Miller S D. Cancellation in additively twisted sums on GL(n). Amer J Math, 2006, 128: 699-729 ...
We also prove that a topological dynamical systems $ (X, T) $ meets the Logarithmic Sarnak conjecture if each invariant measure of $ (X, T) $ has sub-linear measure theoretic sequence mean complexity.Qiu, RuiWei, RunjuXu, LeiyeDiscrete & Continuous Dynamical Systems: Series A...
Using techniques developed by Kanigowski, Lemańczyk, and Radziwi [Fund. Math. 255 (2021), pp. 309–336], we verify Sarnak's conjecture for two classes of rank-one subshifts with unbounded cutting parameters. The first class of rank-one subshifts we consider is called almost com...
Leman´czyk, `Sarnak's conjecture implies the Chowla conjecture along a subsequence', Preprint , 2017, (available from https://arxiv.org/abs/1710.07049). (p. 1)A. Gomilko, D. Kwietniak, M. Leman´czyk, Sarnak's conjecture implies the Chowla conjecture along a subsequence, In: ...