5 citations · 16 across the 13 of their papers we have counts for
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Cyclotomic exponent sequences of numerical semigroups
Alexandru Ciolan, Pedro A. García-Sánchez, Andrés Herrera-Poyatos +1
We study the cyclotomic exponent sequence of a numerical semigroup and we compute its values at the gaps of the elements of with unique representations in terms of mi…
Cyclotomic numerical semigroup polynomials with at most two irreducible factors
Alessio Borzì, Andrés Herrera-Poyatos, Pieter Moree
A numerical semigroup is cyclotomic if its semigroup polynomial is a product of cyclotomic polynomials. The number of irreducible factors of (with multiplicity) is…
Isolated factorizations and their applications in simplicial affine semigroups
Pedro A. García-Sánchez, Andrés Herrera-Poyatos
We introduce the concept of isolated factorizations of an element of a commutative monoid and study its properties. We give several bounds for the number of isolated factorizations…