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Numerical semigroups with large embedding dimension satisfy Wilf's conjecture (1111.1863v3)

Published 8 Nov 2011 in math.AC and math.NT

Abstract: 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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