On a problem of K. Mahler: Diophantine approximation and Cantor sets

Jason Levesley, Cem Salp, Sanju Velani

Let $K$ denote the middle third Cantor set and $\mathcal{A}:=\{3^n:n=0,1,2,>...\}$. Given a real, positive function $\psi$ let $W_{\mathcal{A}}(\psi )$ denote the set of real numbers $x$…