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- W4283810643 abstract "We define a reflective numerical semigroup of genus $g$ as a numerical semigroup that has a certain reflective symmetry when viewed within $mathbb{Z}$ as an array with $g$ columns. Equivalently, a reflective numerical semigroup has one gap in each residue class modulo $g$. In this paper, we give an explicit description for all reflective numerical semigroups. With this, we can describe the reflective members of well-known families of numerical semigroups as well as obtain formulas for the number of reflective numerical semigroups of a given genus or given Frobenius number." @default.
- W4283810643 created "2022-07-06" @default.
- W4283810643 creator A5072923858 @default.
- W4283810643 date "2022-06-30" @default.
- W4283810643 modified "2023-09-27" @default.
- W4283810643 title "Reflective numerical semigroups" @default.
- W4283810643 doi "https://doi.org/10.48550/arxiv.2207.00051" @default.
- W4283810643 hasPublicationYear "2022" @default.
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