A polynomial version of Sarnak's conjecture
Dynamical Systems
2018-12-04 v4 Number Theory
Abstract
Motivated by the variations of Sarnak's conjecture due to El Abdalaoui, Kulaga-Przymus, Lemanczyk, De La Rue and by the observation that the Mobius function is a good weight (with limit zero) for the polynomial pointwise ergodic theorem in , q>1, we introduce polynomial versions of the Sarnak conjecture for minimal systems.
Cite
@article{arxiv.1501.04323,
title = {A polynomial version of Sarnak's conjecture},
author = {Tanja Eisner},
journal= {arXiv preprint arXiv:1501.04323},
year = {2018}
}
Comments
5 pages. The formulation of Theorem 2.2 has been corrected