On certain families of sparse numerical semigroups with Frobenius number even
Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 99-116

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This paper is about sparse numerical semigroups and applications in the Weierstrass semigroups theory. We describe and find the genus of certain families of sparse numerical semigroups with Frobenius number even and we also study the realization of the elements on these families as Weierstrass semigroups.
Keywords: Arf numerical semigroup, numerical semigroup, sparse numerical semigroup, Weierstrass semigroup, weight of numerical semigroup.
@article{ADM_2019_27_1_a10,
     author = {Guilherme Tizziotti and Juan Villanueva},
     title = {On certain families of sparse numerical semigroups with {Frobenius} number even},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a10/}
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Guilherme Tizziotti; Juan Villanueva. On certain families of sparse numerical semigroups with Frobenius number even. Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 99-116. http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a10/