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arXiv · 2002.12421

A counter-example for polynomial version of Sarnak's conjecture

Zhengxing Lian·Ruxi Shi
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Abstract

We construct the counter-example for polynomial version of Sarnak's conjecture for minimal systems, which assets that the M\"obius 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.

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Zhengxing Lian, Ruxi Shi. 2020-02-27. A counter-example for polynomial version of Sarnak's conjecture. https://arxiv.org/abs/2002.12421

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