On the number of zeros of diagonal quartic forms over finite fields

Junyong Zhao, Yulu Feng, Shaofang Hong +1

Let ${\mathbb{F}}_q$ be the finite field of $q=p^m\equiv 1(\mathrm{mod}4)$ elements with $p$ being an odd prime and $m$ being a positive integer. For $c,y\in {\mathbb{F}}_q$ with $y\in\mathbb…