Metric results of the intersection of sets in Diophantine approximation

Chen Tian, Liuqing Peng

Let $\ddot{I}ˆ:{\mathbb{R}}_{>0}\to {\mathbb{R}}_{>0}$ be a non-increasing function. Denote by $W(\ddot{I}ˆ)$ the set of $\ddot{I}ˆ$-well-approximable points and by $E(\ddot{I}ˆ)$ the set of points $x\in…