The number of rational points of certain quartic diagonal hypersurfaces over finite fields
Let $p$ be an odd prime and let $\mathbb{F}_q$ be a finite field of characteristic $p$ with order $q=p^s$. For $f(x_1, \cdots, x_n)\in\mathbb{F}_q[x_1, ..., x_n]$, we denote by $N(f(x_1, \cdots, x_n)=0)$ the number of $\mathbb{F}_q$rational points on the affine hypersurface $f(x_1, \cdots, x_n)=0$....
Main Authors:  , , 

Format:  Article 
Language:  English 
Published: 
AIMS Press
20200301

Series:  AIMS Mathematics 
Subjects:  
Online Access:  https://www.aimspress.com/article/10.3934/math.2020175/fulltext.html 