English

M\"obius disjointness for analytic skew products

Dynamical Systems 2015-10-06 v2 Number Theory

Abstract

We show that the M\"obius function is disjoint to every analytic skew product dynamical system on the two-torus over a rotation of the circle.

Keywords

Cite

@article{arxiv.1509.03183,
  title  = {M\"obius disjointness for analytic skew products},
  author = {Zhiren Wang},
  journal= {arXiv preprint arXiv:1509.03183},
  year   = {2015}
}

Comments

19 pages