EULER–ZAGIER SUMS VIA TRIGONOMETRIC SERIES

Basit Öğe Kaydı
dc.authorscopusid57201692130
dc.authorscopusid55616260000
dc.contributor.authorÇelik, Ş.Ç.
dc.contributor.authorGöral, H.
dc.date.accessioned2024-07-18T20:17:40Z
dc.date.available2024-07-18T20:17:40Z
dc.date.issued2023
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. © 2023 Editura Academiei Romane. All rights reserved.en_US
dc.description.sponsorshipWe are grateful to the referee for the comments which improved the quality of the paper.en_US
dc.identifier.doi10.59277/mrar.2023.25.75.3.381
dc.identifier.endpage412en_US
dc.identifier.issn1582-3067
dc.identifier.issue75en_US
dc.identifier.scopus2-s2.0-85175791017en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage381en_US
dc.identifier.urihttps://doi.org/10.59277/mrar.2023.25.75.3.381
dc.identifier.urihttps://hdl.handle.net/11411/6682
dc.identifier.volume25en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPublishing House of the Romanian Academyen_US
dc.relation.ispartofMathematical Reportsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEuler Sumsen_US
dc.subjectTrigonometric Seriesen_US
dc.titleEULER–ZAGIER SUMS VIA TRIGONOMETRIC SERIES
dc.typeArticle

Dosyalar

Koleksiyon

Scopus Indexed Publications