The logarithmic Sarnak conjecture for ergodic weights
The logarithmic Sarnak conjecture for ergodic weights
The M\"obius disjointness conjecture of Sarnak states that the M\"obius function does not correlate with any bounded sequence of complex numbers arising from a topological dynamical system with zero topological entropy. We verify the logarithmically averaged variant of this conjecture for a large class of systems, which includes all uniquely …