TELESCOPIC NUMERICAL SEMIGROUPS WITH MULTIPLICITY TEN AND EMBEDDING DIMENSION THREE

Abstract

In this work, we give parametrizations of telescopic numerical semigroups with multiplicity ten and embedding dimension three. We also express some of its invariants in terms of generators of these semigroups such as the Frobenius number, genus and Sylvester number.

Keywords

• Frobenius number
• genus
• Sylvester number
• Telescopic numerical semigroup

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