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Eliahou number, Wilf function and concentration of a numerical semigroup
dc.contributor.author | Almirón, Patricio | |
dc.contributor.author | Moyano-Fernández, Julio José | |
dc.date.accessioned | 2022-09-20T10:41:14Z | |
dc.date.available | 2022-09-20T10:41:14Z | |
dc.date.issued | 2022-03-30 | |
dc.identifier.citation | Patricio Almirón & Julio José Moyano-Fernández (2022) Eliahou number, Wilf function and concentration of a numerical semigroup, Quaestiones Mathematicae | ca_CA |
dc.identifier.issn | 1607-3606 | |
dc.identifier.issn | 1727-933X | |
dc.identifier.uri | http://hdl.handle.net/10234/199660 | |
dc.description.abstract | 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. | ca_CA |
dc.format.extent | 13 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Taylor & Francis | ca_CA |
dc.relation.isPartOf | Quaestiones Mathematicae, Vol. 45 (2022) | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | ca_CA |
dc.subject | numerical semigroup | ca_CA |
dc.subject | coin change problem | ca_CA |
dc.subject | Wilf conjecture | ca_CA |
dc.subject | Eliahou number | ca_CA |
dc.subject | concentration | ca_CA |
dc.title | Eliahou number, Wilf function and concentration of a numerical semigroup | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.2989/16073606.2022.2041126 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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