Fabio Enrique Brochero Martínez

activity

20062015

most citedParabolic curves for diffeomorphisms in (C^2,0)

21 citations · 22 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2015

Factoring polynomials of the form $f (x^{n}) \in F_{q} [x]$

F. E. Brochero Martínez, Lucas Reis

Let $f (x) \in F_{q} [x]$ be an irreducible polynomial of degree $m$ and exponent $e$ , and $n$ be a positive integer such that $ν_{p} (q - 1) \geq ν_{p} (e) + ν_{p} (n)$ for all $p$ prime d…

math.NT2015★ 1 cited

Elements of high order in Artin-Schreier extensions of finite fields $F_{q}$

F. E. Brochero Martinez, Lucas Reis

In this article, we find a lower bound for the order of the coset x+b in the Artin-Schreier extension $F_{q} [x] / (x^{p} - x - a)$ , where $b \in F_{q}$ that satisfies a generic s…

cs.IT2014

Explicit factorization of $x^{n} - 1 \in F_{q} [x]$

F. E. Brochero Martínez, C. R. Giraldo Vergara, L. Batista de Oliveira

Let $F_{q}$ be a finite field and $n$ a positive integer. In this article, we prove that, under some conditions on $q$ and $n$ , the polynomial $x^{n} - 1$ can be split into irred…

math.DS2006★ 21 cited

Parabolic curves for diffeomorphisms in (C^2,0)

F. E Brochero Martinez, F. Cano, L. Lopez Hernanz

We give a simple proof of existence of parabolic curves for tangent to the identity diffeomorphisms in (C^2,0) with isolated fixed point.

Factoring polynomials of the form f(xn)∈Fq​[x]

Elements of high order in Artin-Schreier extensions of finite fields Fq​

Explicit factorization of xn−1∈Fq​[x]

Parabolic curves for diffeomorphisms in (C^2,0)

Factoring polynomials of the form $f (x^{n}) \in F_{q} [x]$

Elements of high order in Artin-Schreier extensions of finite fields $F_{q}$

Explicit factorization of $x^{n} - 1 \in F_{q} [x]$