English

The Frobenius problem for four numerical semigroups

Number Theory 2017-08-24 v3

Abstract

The greatest integer that does not belong to a numerical semigroup SS is called the Frobenius number of SS and finding the Frobenius number is called the Frobenius problem. In this paper, we introduce the Frobenius problem for numerical semigroups generated by Thabit number base b and Thabit number of the second kind base b which are motivated by the Frobenius problem for Thabit numerical semigroups. Also, we introduce the Frobenius problem for numerical semigroups generated by Cunningham number and Fermat number base bb

Keywords

Cite

@article{arxiv.1706.09246,
  title  = {The Frobenius problem for four numerical semigroups},
  author = {Kyunghwan Song},
  journal= {arXiv preprint arXiv:1706.09246},
  year   = {2017}
}

Comments

18 pages

R2 v1 2026-06-22T20:32:07.621Z