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

DOI10.1016/j.aim.2021.107765zbMath1482.37006arXiv2002.12421OpenAlexW3155447340WikidataQ113881030 ScholiaQ113881030MaRDI QIDQ2237380

Ruxi Shi, Zhengxing Lian

Publication date: 27 October 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12421

zbMATH Keywords

Möbius functionodometerToeplitz systempolynomial orbitsSarnak conjecture

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10) Relations between ergodic theory and number theory (37A44)

Related Items (1)

Arbitrarily slow decay in the Möbius disjointness conjecture

Cites Work

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• The Möbius function is strongly orthogonal to nilsequences
• Isomorphic extensions and applications
• Sequences from zero entropy noncommutative toral automorphisms and Sarnak conjecture
• Sarnak's conjecture: what's new
• Construction of some Chowla sequences
• Odometers and Toeplitz systems revisited in the context of Sarnak's conjecture
• On uniformity of q‐multiplicative sequences
• Weighted Birkhoff ergodic theorem with oscillating weights

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