The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus Robles Pérez, Aureliano M. Rosales González, José Carlos Numerical semigroups Frobenius number Multiplicity Genus Electronic version of an article published as International Journal of Number Theory, 2017, Vol. 13, No. 04 : pp. 1003-1011 https://doi.org/10.1142/S1793042117500531 © copyright World Scientific Publishing Company http://www.worldscientific.com/ We compute all possible numbers that are the Frobenius number of a numerical semigroup when multiplicity and genus are fixed. Moreover, we construct explicitly numerical semigroups in each case. 2018-03-05T12:43:31Z 2018-03-05T12:43:31Z 2016-11 journal article Robles-Pérez, A.M.; Rosales González, J.C. The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus. International Journal of Number Theory, 13(4): 1003-1011 (2016). [http://hdl.handle.net/10481/49814] 1793-0421 1793-7310 http://hdl.handle.net/10481/49814 10.1142/S1793042117500531 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License World Scientific Publishing