On a question of Eliahou and a conjecture of Wilf

DOI10.1007/s00209-017-1902-3zbMath1486.20076arXiv1608.01353OpenAlexW2487309015WikidataQ123235479 ScholiaQ123235479MaRDI QIDQ1706107

Manuel Delgado

Publication date: 21 March 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01353

zbMATH Keywords

computational mathematicsnumerical semigroupWilf conjecture

Mathematics Subject Classification ID

Commutative semigroups (20M14) Combinatorial inequalities (05A20) Other combinatorial number theory (11B75)

Related Items (15)

Frobenius R-variety of the numerical semigroups contained in a given one ⋮ Almost symmetric numerical semigroups with high type ⋮ Counting Numerical Semigroups ⋮ A graph-theoretic approach to Wilf's conjecture ⋮ New Eliahou semigroups and verification of the Wilf conjecture for genus up to 65 ⋮ 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 ⋮ On parametrized families of numerical semigroups ⋮ Near-misses in Wilf's conjecture ⋮ Apéry sets of shifted numerical monoids ⋮ Gapsets and numerical semigroups ⋮ Almost-positioned numerical semigroups ⋮ Numerical semigroups with concentration two ⋮ On numerical semigroups with at most 12 left elements

Uses Software

• GAP
• numericalsgps
• nsgtree
• intpic
• NumericMonoid

Cites Work

• Wilf's conjecture and Macaulay's theorem
• Fibonacci-like growth of numerical semigroups of a given genus.
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• Exploring the tree of numerical semigroups
• A Circle-Of-Lights Algorithm for the "Money-Changing Problem"
• numericalsgps, a GAP package for numerical semigroups

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