Multiplicative Diophantine approximation with restricted denominators

Bing Li, Ruofan Li, Yufeng Wu

Let $\{a_n{\}}_{n\in \mathbb{N}}$, $\{b_n{\}}_{n\in \mathbb{N}}$ be two infinite subsets of positive integers and $\psi :\mathbb{N}\to {\mathbb{R}}_{>0}$ be a positive function. We completely…