The Frobenius problem for generalized repunit numerical semigroups

DOI10.1007/s00009-022-02233-wOpenAlexW3214765154MaRDI QIDQ2682903

Isabel Colaço, Ignacio Ojeda Martínez de Castilla, Manuel Batista Branco

Publication date: 1 February 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.01106

zbMATH Keywords

typeFrobenius problemgenusnumerical semigroupApéry setsWilf's conjecture

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Commutative semigroups (20M14) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (3)

The \(p\)-Frobenius problems for the sequence of generalized repunits ⋮ The Frobenius problem for numerical semigroups generated by sequences of the form \(ca^n-d\) ⋮ On integer partitions corresponding to numerical semigroups

Cites Work

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• A Circle-Of-Lights Algorithm for the "Money-Changing Problem"
• Combinatorial Commutative Algebra
• Conjecture of Wilf: A Survey
• On numerical semigroups

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