Melina Privitelli

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20182025

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math.NT2025

Estimates on the number of rational solutions of Markoff-Hurwitz equations over finite fields

Miriam Abdon, Daniela Alves de Oliveira, Juliane Capaverde +2

Let $N$ denote the number of solutions to the generalized Markoff-Hurwitz-type equation \[(a_1X_1^m+\cdots + a_nX_n^m+a)^k=bX_1\cdots X_n \] over the finite field $F_{q}$ , w…

math.NT2024

An approach to the moments subset sum problem through systems of diagonal equations over finite fields

Juan Francisco Gottig, Mariana Pérez, Melina Privitelli

Let $F_{q}$ be the finite field of $q$ elements, for a given subset $D \subset F_{q}$ , $m \in N$ , an integer $k \leq ∣ D ∣$ and $b \in F_{q}^{m}$ …

math.NT2020

On the number of simultaneous solutions of certain diagonal equations over finite fields

Mariana Pérez, Melina Privitelli

In this paper we obtain explicit estimates and existence results on the number of $F_{q}$ -rational solutions of certain systems defined by families of diagonal equations ove…

math.NT2019

Estimates on the number of rational solutions of variants of diagonal equations over finite fields

Mariana Perez, Melina Privitelli

In this paper we study the set of rational solutions of equations defined by power sums symmetric polynomials with coefficients in a finite field. We do this by means of applying a…