Title
Numerical semigroups generated by quadratic sequences
Document Type
Article
Publication Date
3-7-2022
Publication Title
Semigroup Forum
Abstract
We investigate numerical semigroups generated by any quadratic sequence with initial term zero and an infinite number of terms. We find an efficient algorithm for calculating the Apéry set, as well as bounds on the elements of the Apéry set. We also find bounds on the Frobenius number and genus, and the asymptotic behavior of the Frobenius number and genus. Finally, we find the embedding dimension of all such numerical semigroups.
Recommended Citation
Hashuga, M., Herbine, M. & Jensen, A. Numerical semigroups generated by quadratic sequences. Semigroup Forum (2022). https://doi.org/10.1007/s00233-022-10263-9
COinS
Comments
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00233-022-10263-9.