Almost-Positioned Numerical Semigroups

Abstract

A numerical semigroup S is almost-positioned if for all s ∈ N\S we have that F(S)+m(S) + 1 − s ∈ S. In this note we give algorithmics for computing the whole set of almost-positioned numerical semigroup with fixed multiplicity and Frobenius number. Moreover, we prove Wilf’s conjecture for this type of numerical semigroups.

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Branco, M.B., Faria, M.C. & Rosales, J.C. Almost-Positioned Numerical Semigroups. Results Math 76, 63 (2021). https://doi.org/10.1007/s00025-021-01372-y

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