F. Arias

activity

20152021

most citedCounting integers representable as images of polynomials modulo

n

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2021

The Frobenius problem for numerical semigroups generated by sequences that satisfy a linear recurrence relation

Fabián Arias, Jerson Borja

Consider a sequence of positive integers of the form $c a^{n} - d$ , $n \geq 1$ , where $a, c$ and $d$ are positive integers, $a > 1$ . For each $n \geq 1$ , let $S_{n}$ be the submonoid of $\mat…

math.NT2019★ 1 cited

Counting integers representable as images of polynomials modulo $n$

Fabián Arias, Jerson Borja, Luis Rubio

Given a polynomial $f (x_{1}, x_{2}, \dots, x_{t})$ in $t$ variables with integer coefficients and a positive integer $n$ , let $α (n)$ be the number of integers $0 \leq a < n$ such that the po…

math.DG2016

A generalization of the Gauss-Bonnet and Hopf-Poincaré theorems. Part II

F. A. Arias, M. Malakhaltsev

This paper is a continuation of the paper F. A. Arias and M. Malakhaltsev "A generalization of the Gauss-Bonnet and Hopf-Poincaré theorems", ArXiv:1510.01395 [MathDG] 5 Oct 2015. L…

math.DG2015★ 1 cited

A generalization of the Gauss-Bonnet and Hopf-Poincaré theorems

F. A. Arias, M. Malakhaltsev

We consider a locally trivial fiber bundle $π : E \to M$ over a compact oriented two-dimensional manifold $M$ , and a section $s$ of this bundle defined over $M ∖ Σ$ , where $…