Numerical semigroups with large embedding dimension satisfy Wilf's conjecture

Details Numerical semigroups with large embedding dimension satisfy Wilf's conjecture Numerical semigroups with large embedding dimension satisfy Wilf's conjecture

2011-11-08

arxiv.org/abs/1111.1863v2

Mathematics

Commutative Algebra

13 pages. To appear in Semigroup Forum

Scientific paper

10.1007/s00233-011-9370-2

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.

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