EULER–ZAGIER SUMS VIA TRIGONOMETRIC SERIES

dc.authorid0000-0002-0110-7139en_US
dc.contributor.authorÇelik, Şermin Çam
dc.contributor.authorGöral, Haydar
dc.date.accessioned2024-06-24T07:01:33Z
dc.date.available2024-06-24T07:01:33Z
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.fullTextLevelFull Texten_US
dc.identifier.doi10.59277/mrar.2023.25.75.3.381en_US
dc.identifier.issn1582-3067
dc.identifier.urihttps://hdl.handle.net/11411/5368
dc.identifier.urihttps://doi.org/10.59277/mrar.2023.25.75.3.381
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakScopusen_US
dc.issue75en_US
dc.language.isoenen_US
dc.nationalInternationalen_US
dc.numberofauthors2en_US
dc.pages381-412en_US
dc.publisherPublishing House of the Romanian Academyen_US
dc.relation.publicationMathematical Reportsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.sponsored.EUNoen_US
dc.sponsored.TUBITAKNoen_US
dc.subjectEuler sumsen_US
dc.subjecttrigonometric seriesen_US
dc.titleEULER–ZAGIER SUMS VIA TRIGONOMETRIC SERIESen_US
dc.typeArticleen_US
dc.volume25en_US

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