RT Journal Article
T1 Eliahou number, Wilf function and concentration of a numerical semigroup
A1 Almirón, Patricio
A1 Moyano Fernández, Julio-José
AB 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 in terms of its multiplicity, concentration and Wilf function. Also, we show new examples of numerical semigroups with a negative Eliahou number satisfying the Wilf conjecture. In addition, we introduce the notion of highly dense numerical semigroup; this yields a new family of numerical semigroups satisfying the Wilf conjecture. Moreover, we use the Wilf function of a numerical semigroup to prove that the Eliahou number of a highly dense numerical semigroup is positive under certain additional hypothesis. These results provide new evidences in favour of the Wilf conjecture.
PB National Inquiry Services Centre (NISC)
SN 1607-3606
YR 2022
FD 2022-03-30
LK https://hdl.handle.net/20.500.14352/71833
UL https://hdl.handle.net/20.500.14352/71833
LA spa
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universitat Jaume I
DS Docta Complutense
RD 22 abr 2026