Daniela Oliveira

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20182022

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math.NT2020

Artin-Schreier curves given by $F_{q}$ -linearized polynomials

Daniela Oliveira, F. E. Brochero Martínez

Let $F_{q}$ be a finite field with $q$ elements, where $q$ is a power of an odd prime $p$ . In this paper we associate circulant matrices and quadratic forms with the Artin-Sc…

math.NT2020

On iterations of rational functions over perfect fields

José Alves Oliveira, Daniela Oliveira, Lucas Reis

Let $K$ be a perfect field of characterstic $p \geq 0$ and let $R \in K (x)$ be a rational function. This paper studies the number $Δ_{α, R} (n)$ of distinct solutions o…

Artin-Schreier curves given by Fq​-linearized polynomials

On iterations of rational functions over perfect fields

Artin-Schreier curves given by $F_{q}$ -linearized polynomials