A polynomial version of Sarnak's conjecture

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 Lq, q>1, we introduce polynomial versions of the Sarnak conjecture for minimal systems.

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