F. E. B. Mart'inez

activity

20192022

collaborators

5 papers

math.NT2022

On the direct and inverse zero-sum problems over $C_{n} ⋊_{s} C_{2}$

Danilo Vilela Avelar, Fabio Enrique Brochero Martínez, Sávio Ribas

Let $C_{n}$ be the cyclic group of order $n$ . In this paper, we provide the exact values of some zero-sum constants over $C_{n} ⋊_{s} C_{2}$ where $s \neq \equiv \pm 1 (mod n)$ , namely…

cs.DM2022

Dynamics of polynomial maps over finite fields

José Alves Oliveira, Fabio Enrique Brochero Martínez

Let $F_{q}$ be a finite field with $q$ elements and let $n$ be a positive integer. In this paper, we study the digraph associated to the map $x\mapsto x^n h(x^{\frac{q-1}{m}…

math.NT2021

The main zero-sum constants over $D_{2 n} \times C_{2}$

Fabio Enrique Brochero Martínez, Abílio Lemos, B. K. Moriya +1

Let $C_{2}$ be the cyclic group of order $2$ and $D_{2 n}$ be the dihedral group of order $2 n$ , where $n$ is even. In this paper, we provide the exact values of some zero-sum constant…

math.NT2021

Extremal product-one free sequences over $C_{n} ⋊_{s} C_{2}$

Fabio Enrique Brochero Martínez, Sávio Ribas

Let $G$ be a finite group multiplicatively written. The small Davenport constant of $G$ is the maximum positive integer $d (G)$ such that there exists a sequence $S$ of length…

math.NT2019

The estimation of the number of Irreducible Binomials

Fabio Enrique Brochero Martínez, Lays Grazielle Cardoso Silva de Jesus

Let $F_{q}$ be the finite field with $q$ elements, and $T$ a positive integer. In this article we find a sharp estimative of the total number of monic irreducible binomials…

On the direct and inverse zero-sum problems over Cn​⋊s​C2​

Dynamics of polynomial maps over finite fields

The main zero-sum constants over D2n​×C2​

Extremal product-one free sequences over Cn​⋊s​C2​

The estimation of the number of Irreducible Binomials

On the direct and inverse zero-sum problems over $C_{n} ⋊_{s} C_{2}$

The main zero-sum constants over $D_{2 n} \times C_{2}$

Extremal product-one free sequences over $C_{n} ⋊_{s} C_{2}$