Turkish Journal of Mathematics
Abstract
Parametrizations are given for Arf numerical semigroups with multiplicity up to 10. In this work, we give parametrizations of Arf numerical semigroups with multiplicity $11$ and $13$, and combining these results with previous results about the number of Arf numerical semigroups with multiplicity $2, 3, 5, 7$, we share some observations about the set of Arf numerical semigroups with prime multiplicity.
DOI
10.55730/1300-0098.3172
Keywords
Numerical semigroups, Arf numerical semigroups, multiplicity, conductor, Frobenius number, ratio
First Page
1446
Last Page
1458
Recommended Citation
KARAKAŞ, H. İ, İLHAN, S, & SÜER, M (2022). Arf numerical semigroups with multiplicity $11$ and $13$. Turkish Journal of Mathematics 46 (4): 1446-1458. https://doi.org/10.55730/1300-0098.3172
