Numerical semigroups with large embedding dimension satisfy Wilf's conjecture
classification
🧮 math.AC
math.NT
keywords
conjecturedimensionembeddingnumericalsemigroupsemigroupswhenwilf
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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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