Daniela Oliveira

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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…

math.NT2018

Möbius-Frobenius maps on irreducible polynomials

F. E. Brochero Martínez, Daniela Oliveira, Lucas Reis

Let $n$ be a positive integer and let $F_{q^{n}}$ be the finite field with $q^{n}$ elements, where $q$ is a power of a prime. This paper introduces a natural action of the Proj…