Parametrizing numerical semigroups with multiplicity up to 5
Abstract
In this work, we give parametrizations in terms of the Kunz coordinates of numerical semigroups with multiplicity up to . We also obtain parametrizations of MED semigroups, symmetric and pseudo-symmetric numerical semigroups with multiplicity up to . These parametrizations also lead to formulas for the number of numerical semigroups, the number of MED semigroups and the number of symmetric and pseudo-symmetric numerical semigroups with multiplicity up to and given conductor.
Communicated by J. Meakin
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