During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he
following problem, known as the Frobenius Problem (FP): given relatively prime positive …

For a nonnegative integer p, we give explicit formulas for the p-Frobenius number and the p-
genus of generalized Fibonacci numerical semigroups. Here, the p-numerical semigroup S …

Numerical Semigroups Page 1 JC Rosales PA García-Sánchez DEVELOPMENTS IN
MATHEMATICS 20 Numerical Semigroups Page 2 NUMERICAL SEMIGROUPS Page 3 …

Abstract Let a 1,…, an be relatively prime positive integers, and let S be the semigroup
consisting of all non-negative integer linear combinations of a 1,…, an. In this paper, we …

For some numerical semigroup rings of small embedding dimension, namely those of
embedding dimension 3, and symmetric or pseudosymmetric of embedding dimension 4 …

We give an explicit formula for the p-Frobenius number of triples associated with
Diophantine Equations x2− y2= zr (r≥ 2), that is, the largest positive integer that can only be …

Numerical semigroups problem list Page 1 arXiv:1304.6552v1 [math.AC] 24 Apr 2013
NUMERICAL SEMIGROUPS PROBLEM LIST M. DELGADO, PA GARCÍA-SÁNCHEZ, AND JC …

Let H=〈 a, b, c〉 be a numerical semigroup generated by three elements and let R= k [H] be
its semigroup ring over a field k. We assume that H is not symmetric and assume that the …

A numerical semigroup is perfect if it has no isolated gaps. In this paper, we will characterize
the perfect numerical semigroups with embedding dimension three, and we show how to …

For any set of positive integers A with gcdA= 1, let Γ (A) denote the set of integers that are
expressible as a linear combination of elements of A with non-negative integer coefficients …