2 problems

Let $(X,\mathcal{X},\mu,T_1,T_2)$ be a measure-preserving system. Joint ergodicity for logarithmic averages means convergence of the corresponding logarithmically weighted multiple…

Let $\lambda$ be the Liouville function. For every $t\in\mathbb{N}$ and every collection of distinct natural numbers $h_1,\ldots,h_t$, logarithmic Chowla conjecture. One has … This…