Algorithms for numerical semigroups with fixed maximum primitive

Fuente: arXiv
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Autori principali: Delgado, Manuel, Kumar, Neeraj
Natura: Preprint
Pubblicazione: 2025
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author Delgado, Manuel
Kumar, Neeraj
author_facet Delgado, Manuel
Kumar, Neeraj
contents We present an algorithm to explore various properties of the numerical semigroups with a given maximum primitive. In particular, we count the number of such numerical semigroups and verify that there is no counterexample to Wilf's conjecture among the numerical semigroups with maximum primitive up to \(60\).
format Preprint
id arxiv_https___arxiv_org_abs_2512_23891
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Algorithms for numerical semigroups with fixed maximum primitive
Delgado, Manuel
Kumar, Neeraj
Combinatorics
20M14, 20--04, 05A15
We present an algorithm to explore various properties of the numerical semigroups with a given maximum primitive. In particular, we count the number of such numerical semigroups and verify that there is no counterexample to Wilf's conjecture among the numerical semigroups with maximum primitive up to \(60\).
title Algorithms for numerical semigroups with fixed maximum primitive
topic Combinatorics
20M14, 20--04, 05A15
url https://arxiv.org/abs/2512.23891