On the Frobenius number of certain numerical semigroups

DOI10.1142/S0218196721500259zbMath1472.11091arXiv2001.11204OpenAlexW3126786483MaRDI QIDQ4994454

Anton Rechenauer, Rolf Waldi, Michael Hellus

Publication date: 18 June 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11204

zbMATH Keywords

numerical semigroupsGoldbach conjectureDiophantine Frobenius problemWilf's conjecture on numerical semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Goldbach-type theorems; other additive questions involving primes (11P32) The Frobenius problem (11D07)

Related Items (2)

On integer partitions corresponding to numerical semigroups ⋮ On_The_FrobeniusNumber

Uses Software

• GAP
• numericalsgps
• NumPy
• Matplotlib
• Python
• GitHub
• Rust

Cites Work

• Unnamed Item
• Wilf's conjecture and Macaulay's theorem
• Numerical semigroups generated by primes
• Approximate formulas for some functions of prime numbers
• The Difference Between Consecutive Primes, II
• Wilf’s conjecture in fixed multiplicity
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
• On the linear diophantine problem of Frobenius.
• A Circle-Of-Lights Algorithm for the "Money-Changing Problem"
• numericalsgps, a GAP package for numerical semigroups
• Vinogradov's theorem with almost equal summands

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