Inhomogeneous Diophantine Approximation on $M_0$-sets with restricted denominators

Andrew D. Pollington, Sanju Velani, Agamemnon Zafeiropoulos +1

Let $F\subseteq [0,1]$ be a set that supports a probability measure $\mu$ with the property that $|\hat{\mu }(t)|\ll (\log |t|{)}^{-A}$ for some constant $A>0$. Let $\mathcal{A}=…