Hypergeometric functions and algebraic curves $y^e=x^d+ax+b$

Pramod Kumar Kewat, Ram Kumar

Let $q$ be a prime power and ${\mathbb{F}}_q$ be a finite field with $q$ elements. Let $e$ and $d$ be positive integers. In this paper, for $d\ge 2$ and $q\equiv1(\mathrm{mod}~ed(d-1…