Daniela Oliveira

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20182022

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math.NT2022

On the number of rational points of Artin-Schreier curves and hypersurfaces

Fabio Enrique Brochero Martínez, Daniela Alves de Oliveira

Let $F_{q^{n}}$ denote the finite field with $q^{n}$ elements. In this paper we determine the number of $F_{q^{n}}$ -rational points of the affine Artin-Schreier curve giv…

math.NT2022

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 $F_{q^{n}}$ -rational points on the affine curve $X_{d, a, b}$ given by the equation $y^{d} = a x Tr (x) + b,$ where $Tr$ …