• openAccess   Eliahou number, Wilf function and concentration of a numerical semigroup 

      Almirón, Patricio; Moyano-Fernández, Julio José Taylor & Francis (2022-03-30)
      We give an estimate of the minimal positive value of the Wilf function of a numerical semigroup in terms of its concentration. We describe necessary conditions for a numerical semigroup to have a negative Eliahou number ...
    • openAccess   Lattice paths with given number of turns and semimodules over numerical semigroups 

      Moyano-Fernández, Julio José; Uliczka, Jan Springer US (2014-06)
      Let Γ =< α, ß> be a numerical semigroup. In this article we consider several relations between the so-called Γ -semimodules and lattice paths from (0, α) to (ß,0): we investigate isomorphism classes of Γ -semimodules as ...
    • openAccess   Supersymmetric gaps of a numerical semigroup with two generators 

      Almirón, Patricio; Moyano-Fernández, Julio José Taylor & Francis (2022-04-10)
      In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries of the gaps of the semigroup with respect ...