The number of rational points of a class of superelliptic curves

José Alves Oliveira, Daniela Oliveira, F. E. Brochero Martínez

In this paper, we study the number of ${\mathbb{F}}_{q^n}$-rational points on the affine curve ${\mathcal{X}}_{d,a,b}$ given by the equation $$y^d=ax\text{Tr}(x)+b,$$ where $\text{Tr}$…