Configurations of rectangles in a set in ${\mathbb{F}}_q^2$

Doowon Koh, Sujin Lee, Thang Pham +1

Let ${\mathbb{F}}_q$ be a finite field of order $q$. In this paper, we study the distribution of rectangles in a given set in ${\mathbb{F}}_q^2$. More precisely, for any $0<\delta \le 1$, we…