Let $F=\mathbb{F}_{q}$ be a finite field where $q$ is an odd prime power. Fix $a\in F\setminus\{0\}$. I would like to find out the number of solutions to the equation $$x^2-y^2=a.$$
Could anyone give any hints?
Thanks
Let $F=\mathbb{F}_{q}$ be a finite field where $q$ is an odd prime power. Fix $a\in F\setminus\{0\}$. I would like to find out the number of solutions to the equation $$x^2-y^2=a.$$
Could anyone give any hints?
Thanks
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