Numerical semigroups with large embedding dimension satisfy Wilf's conjecture
Commutative Algebra
2012-12-18 v3 Number Theory
Abstract
We give an affirmative answer to Wilf's conjecture for numerical semigroups satisfying 2 \nu \geq m, where \nu and m are respectively the embedding dimension and the multiplicity of a semigroup. The conjecture is also proved when m \leq 8 and when the semigroup is generated by a generalized arithmetic sequence.
Cite
@article{arxiv.1111.1863,
title = {Numerical semigroups with large embedding dimension satisfy Wilf's conjecture},
author = {Alessio Sammartano},
journal= {arXiv preprint arXiv:1111.1863},
year = {2012}
}
Comments
13 pages