On a theorem of Mattila in the p-adic setting

Boqing Xue, Thang Pham, Le Q. Hung +2

Let $A,B$ be subsets of $(\mathbb{Z}/p^r\mathbb{Z}{)}^2$. In this note, we provide conditions on the densities of $A$ and $B$ such that $|gA-B|\gg p^{2r}$ for a positive proportion…