3 problems

Let $\xi$ be an irrational real number whose base-$b$ expansion is generated by a finite automaton; equivalently, its digit sequence is $k$-automatic for some integer base…

Let ${\bf E}$ and ${\bf M}$ denote the sets of values under consideration of $E$-functions and $M$-functions, respectively. A complex number is an $S$-number when its Mahler expone…

Let $I$ and $f_{a,b}$ be as in Theorem. Let $A\subseteq\mathbb{Q}\setminus\{0\}$ satisfy $1\in A$ and the property that every non-zero integral multiple of each element of $A$ also…