Counting rational points of an algebraic variety over finite fields

Shuangnian Hu, Shaofang Hong, Xiaoer Qin

Let ${\mathbb{F}}_q$ denote the finite field of odd characteristic $p$ with $q$ elements ($q=p^n,n\in \mathbb{N}$) and ${\mathbb{F}}_q^{\ast }$ represent the nonzero elements of $\mathbb{…