Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number Branco, M.B. Rosales González, José Carlos Faria, M.C. Numerical semigroups Positioned numerical semigroups C-semigroups D-semigroups tree Frobenius number Multiplicity Gender We thank the anonymous referees for their detailed suggestions and comments, which have greatly improved this article. A C-semigroup (respectively a D-semigroup) is a positioned numerical semigroup S such that g(S) (Formula presernted) (respectively g(S) (Formula presernted). In this paper we study these semigroups giving formulas for the Frobenius number, pseudo-Frobenius number, and type. Furthermore, we give algorithms for computing the whole set of C-semigroups and D-semigroups. 2022-04-22T11:24:50Z 2022-04-22T11:24:50Z 2022 info:eu-repo/semantics/article Rosales, J. C., Branco, M. B., & Faria, M. C. Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number. Hacettepe Journal of Mathematics and Statistics, 51(1), 218-227. [DOI : 10.15672/hujms.897234] http://hdl.handle.net/10481/74475 10.15672/hujms.897234 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España Hacettepe University