Distribution of genus among numerical semigroups with fixed Frobenius number

DOI10.1007/s00233-022-10282-6OpenAlexW3047903977MaRDI QIDQ2153514

Deepesh Singhal

Publication date: 5 July 2022

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

Full work available at URL: https://arxiv.org/abs/2008.02963

zbMATH Keywords

genusnumerical semigroupFrobenius number

Mathematics Subject Classification ID

Semigroups (20Mxx)

Related Items (4)

Quasi-polynomial growth of numerical and affine semigroups with constrained gaps ⋮ On integer partitions corresponding to numerical semigroups ⋮ Sub-Fibonacci behavior in numerical semigroup enumeration ⋮ Counting numerical semigroups by Frobenius number, multiplicity, and depth

Uses Software

• OEIS
• GitHub

Cites Work

• On the enumeration of the set of numerical semigroups with fixed Frobenius number.
• Constructing numerical semigroups of a given genus.
• Fibonacci-like growth of numerical semigroups of a given genus.
• The set of numerical semigroups of a given multiplicity and Frobenius number
• The proportion of Weierstrass semigroups
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• On the number of semigroups of natural numbers.

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