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math.NT2025
The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes
Aureliano M. Robles-Pérez, José Carlos Rosales
We compute the Frobenius number for numerical semigroups generated by the squares of three consecutive Fibonacci numbers. We achieve this by using and comparing three distinct algo…
math.NT2022
The complexity of a numerical semigroup
J. I. García-García, M. A. Moreno-Frías, J. C. Rosales +1
Let and be numerical semigroups. A numerical semigroup is an -{\it semigroup} if is an ideal of . We will denote by $\mathcal{J}(Δ…
math.NT2011
The tree of irreducible numerical semigroups with fixed Frobenius number
V. Blanco, J. C. Rosales
In this paper we present a procedure to build the set of irreducible numerical semigroups with a fixed Frobenius number. The construction gives us a rooted tree structure for this…