Modularly equidistant numerical semigroups Rosales González, José Carlos Branco, Manuel Baptista Traesel, Márcio André Embedding dimension Frobenius number Genus Multiplicity Modularly equidistant numerical semigroups MED semigroups Numerical semigroup The first author was partially supported by MTM-2017-84890-P and by Junta de Andalucia group FQM343. The second author is supported by the project FCT PTDC/MAT/73544/2006). We would like to thank the referees for their comments and suggestions on the manuscript. If S is a numerical semigroup and s E S, we denote by nextS(s) = min (x E S | s < x}. Let a be an integer greater than or equal to two. A numerical semigroup is equidistant modulo a if nextS(s) - s - 1 is a multiple of a for every s E S. In this note, we give algorithms for computing the whole set of equidistant numerical semigroups modulo a with fixed multiplicity, genus, and Frobenius number. Moreover, we will study this kind of semigroups with maximal embedding dimension. 2021-06-14T07:23:57Z 2021-06-14T07:23:57Z 2020-11-23 journal article ROSALES, J. C., BRANCO, M. B., & TRAESEL, M. A. (2021). Modularly equidistant numerical semigroups. Turkish Journal of Mathematics, 45(1), 288-299. [doi:10.3906/mat-2008-83] http://hdl.handle.net/10481/69146 10.3906/mat-2008-83 eng http://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España Scientific and Technical Research Council of Turkey