2 citations · 2 across the 6 of their papers we have counts for
7 papers
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…
Factorization patterns on nonlinear families of univariate polynomials over a finite field
Guillermo Matera, Mariana Pérez, Melina Privitelli
We estimate the number of elements on a nonlinear family of monic polynomials of of degree having factorization p…
On the value set of small families of polynomials over a finite field, III
Guillermo Matera, Mariana Pérez, Melina Privitelli
We estimate the average cardinality of the value set of a general family of monic univariate polynomials of degree with coefficients in…
Number of rational points of symmetric complete intersections over a finite field and applications
Guillermo Matera, Mariana Perez, Melina Privitelli
We study the set of common F_q-rational zeros of systems of multivariate symmetric polynomials with coefficients in a finite field F_q. We establish certain properties on these pol…
On the computation of rational points of a hypersurface over a finite field
Guillermo Matera, Mariana Pérez, Melina Privitelli
We design and analyze an algorithm for computing rational points of hypersurfaces defined over a finite field based on searches on "vertical strips", namely searches on parallel li…
The distribution of factorization patterns on linear families of polynomials over a finite field
Eda Cesaratto, Guillermo Matera, Mariana Pérez
We obtain estimates on the number of elements on a linear family of monic polynomials of of degree having factori…
On the value set of small families of polynomials over a finite field, I
Eda Cesaratto, Guillermo Matera, Mariana Pérez +1
We obtain an estimate on the average cardinality of the value set of any family of monic polynomials of Fq[T] of degree d for which s consecutive coefficients a_{d-1},..., a_{d-s}…