The M öbius Disjointness Conjecture on infinite-dimensional torus

Qingyang Liu, Jing Ma, Hongbo Wang

Let ${\mathbb{T}}^{\ddot{I}}‰$ be the infinite-dimensional torus, and $T:{\mathbb{T}}^{\ddot{I}}‰\to {\mathbb{T}}^{\ddot{I}}‰$ be defined by \[ T: (x_1, x_2, \dots, x_k, \ldots) \mapsto (x_1 + α, x_2 + h(x_1), \…