F. Arias

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20152021

most citedCounting integers representable as images of polynomials modulo

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

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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…