Numerical semigroups with large embedding dimension satisfy Wilf's conjecture

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.

13 pages

References in corpus (2)

• Fibonacci-Like Behavior of the Number of Numerical Semigroups of a Given Genus
• Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings

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