We give an affirmative answer to Wilf's conjecture for numerical semigroups satisfying 2ν≥m, where ν and m are respectively the embedding dimension and the multiplicity of a semigroup. The conjecture is also proved when m≤8 and when the semigroup is generated by a generalized arithmetic sequence. © 2011 Springer Science+Business Media, LLC.
Numerical semigroups with large embedding dimension satisfy Wilf's conjecture
Sammartano A.
2012-01-01
Abstract
We give an affirmative answer to Wilf's conjecture for numerical semigroups satisfying 2ν≥m, where ν and m are respectively the embedding dimension and the multiplicity of a semigroup. The conjecture is also proved when m≤8 and when the semigroup is generated by a generalized arithmetic sequence. © 2011 Springer Science+Business Media, LLC.File in questo prodotto:
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