EULER-ZAGIER SUMS VIA TRIGONOMETRIC SERIES

dc.authorwosidGöral, Haydar/JVP-2064-2024
dc.contributor.authorCelik, Sermin Cam
dc.contributor.authorGoral, Haydar
dc.date.accessioned2024-07-18T20:52:11Z
dc.date.available2024-07-18T20:52:11Z
dc.date.issued2023
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractIn this note, we study the evaluations of Euler sums via trigonometric series. It is a commonly believed conjecture that for an even weight greater than seven, Euler sums cannot be evaluated in terms of the special values of the Riemann zeta function. For an even weight, we reduce the evaluations of Euler sums into the evaluations of double series and integrals of products of Clausen functions. We also re-evaluate Euler sums of odd weight using a new method based on trigonometric series.en_US
dc.identifier.endpage412en_US
dc.identifier.issn1582-3067
dc.identifier.issue3en_US
dc.identifier.startpage381en_US
dc.identifier.urihttps://hdl.handle.net/11411/8544
dc.identifier.volume25en_US
dc.identifier.wosWOS:001075925400003en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherEditura Acad Romaneen_US
dc.relation.ispartofMathematical Reportsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEuler Sumsen_US
dc.subjectTrigonometric Seriesen_US
dc.subjectValuesen_US
dc.titleEULER-ZAGIER SUMS VIA TRIGONOMETRIC SERIESen_US
dc.typeArticleen_US

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