On the number of numerical semigroups \(\langle a,b\rangle\) of prime power genus.

DOI10.1007/s00233-012-9457-4zbMath1281.20074arXiv1209.3216OpenAlexW2028572482MaRDI QIDQ372348

Shalom Eliahou, Jorge Luis Ramírez Alfonsín

Publication date: 7 October 2013

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

Full work available at URL: https://arxiv.org/abs/1209.3216

zbMATH Keywords

genusgapsnumerical semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Continued fractions (11A55) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

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Cites Work

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• Bounds on the number of numerical semigroups of a given genus
• Numerical semigroups.
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• Two-Generator Numerical Semigroups and Fermat and Mersenne Numbers