On the number of numerical semigroups containing two coprime integers \(p\) and \(q\).

DOI10.1007/s00233-015-9710-8zbMath1335.20058OpenAlexW2041967853MaRDI QIDQ744867

Rolf Waldi, Michael Hellus

Publication date: 12 October 2015

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

Full work available at URL: https://doi.org/10.1007/s00233-015-9710-8

zbMATH Keywords

lattice pathsconvex polytopesquasipolynomialsApéry setsnumbers of numerical semigroups

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Commutative semigroups (20M14) Lattice points in specified regions (11P21)

Related Items (4)

Numerical semigroups, polyhedra, and posets I: the group cone ⋮ Counting Numerical Semigroups ⋮ On partitions and Arf semigroups ⋮ Numerical semigroups, polyhedra, and posets. II: Locating certain families of semigroups

Uses Software

• polymake

Cites Work

• Lattice paths with given number of turns and semimodules over numerical semigroups
• Geometrical illustration of numerical semigroups and of some of their invariants.
• SYSTEMS OF INEQUALITIES AND NUMERICAL SEMIGROUPS
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