Intersecting well approximable and missing digit sets

Bing Li, Sanju Velani, Bo Wang

Let $b\ge 3$ be an integer and $C(b,D)$ be the set of real numbers in $[0,1]$ whose $b$-ary expansion consists of digits restricted to a given set $D\subseteq \{0,\dots ,b-1\}$. Giv…