Jerson Borja

activity

20162021

most citedCounting integers representable as images of polynomials modulo

n

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 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.AC2019

A note on isomorphisms between submonoids of $N^{k}$ and numerical semigroups

Jerson Borja

Given a submonoid $H$ of $N^{k}$ , we give some characterizations of the minimum $r \in N^{+}$ such that $H$ is isomorphic to a submonoid of $N^{r}$ . In the context…

math.AT2017

Equilateral $p$ -gons in $R^{d}$ and deformed spheres and mod $p$ Fadell-Husseini index

Andrés Angel, Jerson Borja

We introduce the concept of $r$ -equilateral $m$ -gons. We prove the existence of $r$ -equilateral $p$ -gons in $R^{d}$ if $r < d$ and the existence of equilateral $p$ -gons in the…

math.AT2016

The Evasiveness Conjecture and Graphs on 2p Vertices

Andres Angel, Jerson Borja

The Evasiveness conjecture have been proved for properties of graphs on a prime-power number of vertices and the six vertices case. The ten vertices case is still unsolved. In this…

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

Counting integers representable as images of polynomials modulo n

A note on isomorphisms between submonoids of Nk and numerical semigroups

Equilateral p-gons in Rd and deformed spheres and mod p Fadell-Husseini index

The Evasiveness Conjecture and Graphs on 2p Vertices

Counting integers representable as images of polynomials modulo $n$

A note on isomorphisms between submonoids of $N^{k}$ and numerical semigroups

Equilateral $p$ -gons in $R^{d}$ and deformed spheres and mod $p$ Fadell-Husseini index