@misc{10481/49814, year = {2016}, month = {11}, url = {http://hdl.handle.net/10481/49814}, abstract = {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.}, organization = {Both authors are supported by the project MTM2014-55367-P, which is funded by Ministerio de Economía y Competitividad and Fondo Europeo de Desarrollo Regional FEDER, and by the Junta de Andalucía Grant Number FQM-343. The second author is also partially supported by Junta de Andalucía/Feder Grant Number FQM-5849.}, publisher = {World Scientific Publishing}, keywords = {Numerical semigroups}, keywords = {Frobenius number}, keywords = {Multiplicity}, keywords = {Genus}, title = {The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus}, doi = {10.1142/S1793042117500531}, author = {Robles-Pérez, Aureliano M. and Rosales González, José Carlos}, }