English

Generic numerical semigroups

Combinatorics 2021-05-11 v1

Abstract

The use of compositions simplifies some aspects of the theory of numerical semigroups. We illustrate this by giving a new proof for the asymptotic number C((1 + \sqrt 5)/2) g of numerical semigroups of genus g and by describing the constant C explicitly 1 .

Keywords

Cite

@article{arxiv.2105.04200,
  title  = {Generic numerical semigroups},
  author = {Roland Bacher},
  journal= {arXiv preprint arXiv:2105.04200},
  year   = {2021}
}
R2 v1 2026-06-24T01:56:07.832Z