1 citations · 1 across the 10 of their papers we have counts for
11 papers
A Kronecker algorithm for locally closed sets over a perfect field
Nardo Giménez, Joos Heintz, Guillermo Matera +3
We develop a probabilistic algorithm of Kronecker type for computing a Kronecker representation of a zero-dimensional linear section of an algebraic variety defined over a perf…
Estimates on the number of rational solutions of Markoff-Hurwitz equations over finite fields
Miriam Abdon, Daniela Alves de Oliveira, Juliane Capaverde +2
Let 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 , w…
An approach to the moments subset sum problem through systems of diagonal equations over finite fields
Juan Francisco Gottig, Mariana Pérez, Melina Privitelli
Let be the finite field of elements, for a given subset , , an integer and …
Smooth symmetric systems over a finite field and applications
Nardo Giménez, Guillermo Matera, Mariana Pérez +1
We study the set of common -rational solutions of "smooth" systems of multivariate symmetric polynomials with coefficients in a finite field . We show t…
The distribution of defective multivariate polynomial systems over a finite field
Nardo Giménez, Guillermo Matera, Mariana Pérez +1
This paper deals with properties of the algebraic variety defined as the set of zeros of a "deficient" sequence of multivariate polynomials. We consider two types of varieties: ide…
On the computation of rational solutions of underdetermined systems over a finite field
Nardo Giménez, Guillermo Matera, Mariana Pérez +1
We design and analyze an algorithm for computing solutions with coefficients in a finite field of underdetermined systems defined over . The algorithm…
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 -rational solutions of certain systems defined by families of diagonal equations ove…
Average-case complexity of the Euclidean algorithm with a fixed polynomial over a finite field
Nardo Giménez, Guillermo Matera, Mariana Pérez +1
We analyze the behavior of the Euclidean algorithm applied to pairs (g,f) of univariate nonconstant polynomials over a finite field F_q of q elements when the highest-degree polyno…
Targets, local weak -Gibbs measures and a generalized Bowen dimension formula
María Victoria Melián Pérez
For a dynamical system, we study the set of points whose orbit approximates any chosen point at certain specified rates. Our basic setting is that of left shift acting on…
Explicit Estimates for the Number of Rational Points of Singular Complete Intersections over a Finite Field
Guillermo Matera, Mariana Pérez, Melina Privitelli
Let be a complete intersection defined over a finite field of dimension and singular locus of dimensi…
On the value set of small families of polynomials over a finite field, II
Guillermo Matera, Mariana Pérez, Melina Privitelli
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} a…