Show simple item record

On the order of magnitude of Sudler products II

dc.contributor.authorGrepstad, Sigrid
dc.contributor.authorNeumüller, Mario
dc.contributor.authorZafeiropoulos, Agamemnon
dc.date.accessioned2023-02-17T14:36:45Z
dc.date.available2023-02-17T14:36:45Z
dc.date.created2022-11-30T12:11:40Z
dc.date.issued2022
dc.identifier.citationInternational Journal of Number Theory. 2022, .en_US
dc.identifier.issn1793-0421
dc.identifier.urihttps://hdl.handle.net/11250/3052057
dc.description.abstractWe study the asymptotic behavior of Sudler products PN(α)=∏Nr=12∣∣sinπrα∣∣ for quadratic irrationals α∈R. In particular, we verify the convergence of certain perturbed Sudler products along subsequences, and show that liminfNPN(α)=0 and limsupNPN(α)/N=∞ whenever the maximal digit in the period of the continued fraction expansion of α exceeds 23. This generalizes known results for the period one case α=[0;a¯¯¯].en_US
dc.language.isoengen_US
dc.publisherWorld Scientific Publishingen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleOn the order of magnitude of Sudler products IIen_US
dc.title.alternativeOn the order of magnitude of Sudler products IIen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionacceptedVersionen_US
dc.rights.holder© 2022 World Scientific Publishingen_US
dc.source.pagenumber0en_US
dc.source.journalInternational Journal of Number Theoryen_US
dc.identifier.doi10.1142/S1793042123500483
dc.identifier.cristin2085515
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


Files in this item

Thumbnail
Name:
sudler2.pdf
Size:
865.5Kb
Format:
PDF
View/Open

This item appears in the following Collection(s)

Show simple item record

Navngivelse 4.0 Internasjonal
Except where otherwise noted, this item's license is described as Navngivelse 4.0 Internasjonal