Cyclotomic numerical semigroup polynomials with at most two irreducible factors

DOI10.1007/s00233-021-10197-8OpenAlexW3171219867MaRDI QIDQ2665917

Andrés Herrera-Poyatos, Alessio Borzì, Pieter Moree

Publication date: 19 November 2021

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.08823

zbMATH Keywords

cyclotomic polynomialsnumerical semigroupscyclotomic exponent sequence

Mathematics Subject Classification ID

Commutative semigroups (20M14) Polynomials in number theory (11C08)

Uses Software

• GAP
• Macaulay2
• numericalsgps

Cites Work

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• Frobenius vectors, Hilbert series and gluings of affine semigroups.
• Numerical semigroups.
• Approximation of singular series and automata
• Graded algebras with cyclotomic Hilbert series
• Coefficients and higher order derivatives of cyclotomic polynomials: old and new (with an appendix by Pedro García-Sánchez)
• Generators and relations of abelian semigroups and semigroup rings
• Cyclotomic Numerical Semigroups
• Several Proofs of the Irreducibility of the Cyclotomic Polynomials
• On Symmetric But Not Cyclotomic Numerical Semigroups
• Numerical Semigroups, Cyclotomic Polynomials, and Bernoulli Numbers
• numericalsgps, a GAP package for numerical semigroups

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