On the number of solutions of certain diagonal equations over finite fields
周文賢教授中研院研究員 下午 3:30–5:00 鴻經館 107 室Abstract:
We use character sums over finite fields to give explicit formulae for the number of solutions of certain diagonal equations. We also show that if the value distribution of character sum $\sum_{x\in \mathbb{F}_q} \chi (ax^m+bx)$, $a,b\in \mathbb{F}_q$, is known, then one can obtain the number of solutions of the system of equations.