The Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation

Lorenz Frühwirth, Manuel Hauke

Given a monotonically decreasing $\psi :\mathbb{N}\to [0,\infty )$, Khintchine's Theorem provides an efficient tool to decide whether, for almost every $\alpha \in \mathbb{R}$, there are in…