The Chowla and the Sarnak conjectures from ergodic theory point of view
  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. 
El Houcein El Abdalaoui (LMRS), Joanna Kulaga-Przymus, Mariusz   Lemanczyk, Thierry De La Rue (LMRS)
math.DS math.NT