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arXiv · 1111.1863

Numerical semigroups with large embedding dimension satisfy Wilf's conjecture

Alessio Sammartano
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Abstract

We give an affirmative answer to Wilf's conjecture for numerical semigroups satisfying 2 ν\geq m, where νand 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.

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Alessio Sammartano. 2012-12-17. Numerical semigroups with large embedding dimension satisfy Wilf's conjecture. https://doi.org/10.1007/s00233-011-9370-2

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