F. E. B. Martínez

activity

20022022

most citedStructure of Finite dihedral group algebra

33 citations · 62 across the 12 of their papers we have counts for

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8 papers · 1 filter

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 $Tr$ …

math.NT2021

On the functional graph of $f (X) = c (X^{q + 1} + a X^{2})$ over quadratic extensions of finite fields

F. E. Brochero Martínez, H. R. Teixeira

Let $F_{q}$ be the finite field with $q$ elements and $c ha r (F_{q})$ odd. In this article we will describe completely the dynamics of the map $f (X) = c (X^{q + 1} + a X^{2})$ , f…

math.NT2019

Permutation Polynomials with Carlitz Rank 2

Fabio Enrique Brochero Martínez, José Alves Oliveira

Let $F_{q}$ denote the finite field with $q$ elements. The Carlitz rank of a permutation polynomial is a important measure of complexity of the polynomial. In this paper we…

math.NT2019

Permutation Binomials over Finite Fields

José Alves Oliveira, F. E. Brochero Martínez

Let $F_{q}$ denote the finite field with $q$ elements. In this paper we use the relationship between suitable polynomials and number of rational points on algebraic curves to…

math.NT2019★ 1 cited

Factorization of composed polynomials and applications

F. E. Brochero Martínez, Lucas Reis, Lays Silva

Let $F_{q}$ be the finite field with $q$ elements, where $q$ is a prime power and $n$ be a positive integer. In this paper, we explore the factorization of $f (x^{n})$ over $…

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…