Near-misses in Wilf's conjecture

DOI10.1007/s00233-018-9926-5zbMath1467.20070arXiv1710.03623OpenAlexW2763575092WikidataQ123001451 ScholiaQ123001451MaRDI QIDQ666688

Shalom Eliahou, Jean Fromentin

Publication date: 11 March 2019

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

Full work available at URL: https://arxiv.org/abs/1710.03623

zbMATH Keywords

conductorSidon setadditive combinatoricsnumerical semigroupApéry element

Mathematics Subject Classification ID

Commutative semigroups (20M14) Other combinatorial number theory (11B75)

Related Items

A graph-theoretic approach to Wilf's conjecture ⋮ On the seeds and the great-grandchildren of a numerical semigroup ⋮ Eliahou number, Wilf function and concentration of a numerical semigroup ⋮ Conjecture of Wilf: A Survey ⋮ Gapsets and numerical semigroups ⋮ Iterated sumsets and Hilbert functions ⋮ On numerical semigroups with at most 12 left elements

Uses Software

• numericalsgps
• NumericalSemigroupsWithGenus
• nsgtree
• NumericMonoid

Cites Work

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• Counting numerical semigroups by genus and some cases of a question of Wilf.
• Numerical semigroups.
• The oversemigroups of a numerical semigroup.
• Fundamental gaps in numerical semigroups.
• On a question of Eliahou and a conjecture of Wilf
• Wilf's conjecture and Macaulay's theorem
• Numerical semigroups with large embedding dimension satisfy Wilf's conjecture.
• Fibonacci-like growth of numerical semigroups of a given genus.
• On a conjecture by Wilf about the Frobenius number
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• Exploring the tree of numerical semigroups
• On the linear diophantine problem of Frobenius.
• A Circle-Of-Lights Algorithm for the "Money-Changing Problem"
• numericalsgps, a GAP package for numerical semigroups
• On numerical semigroups