Sarnak's Conjecture -what's new

Sébastien Ferenczi (1) , J Kułaga-Przymus , M Lemańczyk

1 I2M - Institut de Mathématiques de Marseille

An overview of last seven years results concerning Sarnak's conjecture on Möbius disjointness is presented, focusing on ergodic theory aspects of the conjecture.

Mots clés: Dirichlet convolution; Euler's product; Distance between multiplicative functions; Mean of a multiplicative function; The Prime Number Theorem

Domaines: Mathématiques [math]

Sébastien Ferenczi, J Kułaga-Przymus, M Lemańczyk. Sarnak's Conjecture -what's new. Springer. Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics CIRM Jean-Morlet Chair, Fall 2016, 2213, 2018, Lecture Notes in Mathematics, ⟨10.1007/978-3-319-74908-2_11⟩. ⟨hal-03563204⟩