The Chowla and the Sarnak conjectures from ergodic theory point of view
arXiv:1410.1673
Abstract
We rephrase the conditions from the Chowla and the Sarnak conjectures in abstract setting, that is, for sequences of numbers in {-1,0,1}, and introduce several natural generalizations. We study the relationships between these properties and other notions from topological dynamics and ergodic theory.