M\"obius disjointness for $C^{1 + \varepsilon}$ skew products
Dynamical Systems
2022-03-31 v2 Number Theory
Abstract
We show that for , every skew product on over a rotation of satisfies Sarnak's conjecture. This is an improvement of earlier results of Kulaga-Przymus-Lema\'nczyk, Huang-Wang-Ye, and Kanigowski-Lema\'nczyk-Radziwill.
Cite
@article{arxiv.2002.01076,
title = {M\"obius disjointness for $C^{1 + \varepsilon}$ skew products},
author = {Alexandre de Faveri},
journal= {arXiv preprint arXiv:2002.01076},
year = {2022}
}
Comments
16 pages. To appear in IMRN