Pointwise convergence of ergodic averages with Möbius weight

Joni Teräväinen

Let $(X,\nu ,T)$ be a measure-preserving system, and let $P_1,\dots ,P_k$ be polynomials with integer coefficients. We prove that, for any $f_1,\dots ,f_k\in L^{\infty }(X)$, the Möb…