Counting Numerical Semigroups by Genus and Even Gaps via Kunz-Coordinate Vectors

DOI10.1007/978-3-030-40822-0_1zbMath1476.20058arXiv1906.07310OpenAlexW2951105201MaRDI QIDQ5115885

Matheus Bernardini

Publication date: 21 August 2020

Published in: Numerical Semigroups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07310

zbMATH Keywords

multiplicitygenusnumerical semigroupeven gapsKunz-coordinate vector

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Commutative semigroups (20M14)

Uses Software

• OEIS
• nsgtree
• NumericMonoid

Cites Work

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• Numerical semigroups.
• On \(\gamma\)-hyperelliptic numerical semigroups
• Proportionally modular Diophantine inequalities.
• Fibonacci-like growth of numerical semigroups of a given genus.
• Counting numerical semigroups by genus and even gaps
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• Exploring the tree of numerical semigroups
• SYSTEMS OF INEQUALITIES AND NUMERICAL SEMIGROUPS
• An Application of Integer Programming to the Decomposition of Numerical Semigroups

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