Rational Functions with Small Value Set

dc.bibliographicCitation.seriesTitleOberwolfach Preprints (OWP)
dc.bibliographicCitation.volume5
dc.contributor.authorBartoli, Daniele
dc.contributor.authorBorges, Herivelto
dc.contributor.authorQuoos, Luciane
dc.date.accessioned2024-10-16T16:53:59Z
dc.date.available2024-10-16T16:53:59Z
dc.date.issued2020
dc.description.abstractIn connection with Galois Theory and Algebraic Curves, this paper investigates rational functions h(x)=f(x)/g(x)∈Fq(x) for which the value set Vh={h(α)|α∈Fq∪{∞}} is relatively small. In particular, under certain circumstances, it proves that h(x) having a small value set is equivalent to the field extension Fq(x)/Fq(h(x)) being Galois.
dc.description.versionpublishedVersion
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/16942
dc.identifier.urihttps://doi.org/10.34657/15964
dc.language.isoeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfach
dc.relation.doihttps://doi.org/10.14760/OWP-2020-05
dc.relation.issn1864-7596
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
dc.subject.ddc510
dc.titleRational Functions with Small Value Set
dc.typeReport
dc.typeText
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