23 citations · 35 across the 8 of their papers we have counts for
8 papers
The extended Frobenius problem for Lucas series incremented by a Lucas number
Aureliano M. Robles-Pérez, José Carlos Rosales
We study the extended Frobenius problem for sequences of the form and , where is…
The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number
Aureliano M. Robles-Pérez, José Carlos Rosales
We study the extended Frobenius problem for sequences of the form , where is the Fibonacci sequence and is a Fibonacc…
On sets related to integer partitions with quasi-required elements and disallowed elements
Aureliano M. Robles-Pérez, José Carlos Rosales
Given a set A of non-negative integers and a set B of positive integers,we are interested in computing all sets C (of positive integers) that are minimal in the family of sets K (o…
A Frobenius problem suggested by prime -tuplets (extended version)
Aureliano M. Robles-Pérez, José Carlos Rosales
We study the Frobenius problem for certain k-tuplets, which include prime k-tuplets, in particular prime triplets and prime quadruplets. Moreover, we analyze some properties of the…
Modular Frobenius pseudo-varieties
Aureliano M. Robles-Pérez, José Carlos Rosales
If and is a finite subset of , then we denote by \begin{align*} \mathscr{C}(m,A) = \left\{S\…
The tree of numerical semigroups with low multiplicity
P. A. García-Sánchez, D. Marín-Aragón, A. M. Robles-Pérez
We show that the number of numerical semigroups with multiplicity three, four or five and fixed genus is increasing as a function in the genus. To this end we use the Kunz polytope…