Mattila--Sjölin type functions: A finite field model

Daewoong Cheong, Doowon Koh, Thang Pham +1

Let $\varphi (x,y):{\mathbb{R}}^d\times {\mathbb{R}}^d\to \mathbb{R}$ be a function. We say $\varphi$ is a Mattila--Sjölin type function of index $\gamma$ if $\gamma$ is the smallest number satisfying…