H. R. Teixeira

collaborators

2 papers

math.NT2025

The dynamics of a function family over quadratic extensions of finite fields

Fabio E. Brochero Martínez, Hugo R. Teixeira

Let $F_{q}$ be the finite field with $q = p^{s}$ elements, where $p$ is an odd prime and $s$ a positive integer. In this paper, we define the function $f(X)=(cX^q+aX)(X^{q}-X)^{…

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…

The dynamics of a function family over quadratic extensions of finite fields

On the functional graph of f(X)=c(Xq+1+aX2) over quadratic extensions of finite fields

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