The Chowla and the Sarnak conjectures from ergodic theory point of view
classification
🧮 math.DS
math.NT
keywords
chowlaconjecturesergodicsarnaktheoryabstractconditionsdynamics
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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.
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