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On the type of certain numerical semigroups and a question of Wilf

Kunz, E.



Abstract

Let H be a numerical semigroup with embedding dimension , type t(H), conductor c(H) and genus g(H). Wilf's question (Am Math Mon 25:562-565, 1978) asks wether edim(H) . (c(H) - g(H)) - c(H) >= 0 for all numerical semigroups H. Positive answers in special cases have been given in Bras-Amoros (Semigroup Forum 76:379-384, 2008), Dobbs and Matthews (Focus on Commutative Rings Research, 2006), Froberg ...

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