Lower bounds for the Hausdorff dimension of expressible sets

Maiken Gravgaard, Simon Kristensen, Jaroslav Hančl

We obtain positive lower bounds on the Hausdorff dimension of sets of real numbers given by expressions of the form ${\sum }_{n=1}^{\infty }\frac{1}{a_n{b}_n}$, where $b_n$ satisfies som…