A. Moscariello

activity

20132026

most citedOn a conjecture of Wilf about the Frobenius number

15 citations · 34 across the 16 of their papers we have counts for

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Showing 2014Show all

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math.NT2014★ 15 cited

On a conjecture of Wilf about the Frobenius number

Alessio Moscariello, Alessio Sammartano

Given coprime positive integers $a_{1} < ... < a_{d}$ , the Frobenius number $F$ is the largest integer which is not representable as a non-negative integer combination of the $a_{i}$ . Let…

math.NT2014

On integers which are representable as sums of large squares

Alessio Moscariello

We prove that the greatest positive integer that is not expressible as a linear combination with integer coefficients of elements of the set ${n^{2}, (n + 1)^{2}, \dots}$ is asymptotic…

math.AC2014

Generators of a fraction of a numerical semigroup

Alessio Moscariello

Given a numerical semigroup $S$ and a positive integer $d$ , the fraction $\frac{S}{d} = {x \in N ∣ d x \in S}$ is again a numerical semigroup. In this paper we determi…