Intersections of sets, diophantine equations and Fourier analysis

Suresh Eswarathasan, Alex Iosevich, Krystal Taylor

A classical theorem due to Mattila (see \cite{Mat84}; see also \cite{M95}, Chapter 13) says that if $A,B\subset {\mathbb{R}}^d$ of Hausdorff dimension $s_A,s_B$, respectively, with $…