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Counting the Ideals with a Given Genus of a Numerical Semigroup with Multiplicity Two

Counting the Ideals with a Given Genus of a Numerical Semigroup with Multiplicity Two

Let S and T be two numerical semigroups. We say that T is an I(S)-semigroup if T∖{0} is an ideal of S. Given k a positive integer, we denote by Δ(k) the symmetric numerical semigroup generated by {2,2k+1}. In this paper we present a formula which calculates the number of …