Identities for dirichlet and lambert-type series arising from the numbers of a certain special word

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dc.contributor.authorKüçükoğlu, İrem
dc.contributor.authorŞimşek, Yılmaz
dc.date.accessioned2021-02-19T21:16:39Z
dc.date.available2021-02-19T21:16:39Z
dc.date.issued2019
dc.departmentALKÜ
dc.descriptionMediterranean International Conference of Pure and Applied Mathematics and Related Areas -- OCT 26-29, 2018 -- Antalya, TURKEY
dc.description.abstractThe goal of this paper is to give several new Dirichlet-type series associated with the Riemann zeta function, the polylogarithm function, and also the numbers of necklaces and Lyndon words. By applying Dirichlet convolution formula to number-theoretic functions related to these series, various novel identities and relations are derived. Moreover, some new formulas related to Bernoulli-type numbers and polynomials obtain from generating functions and these Dirichlet-type series. Finally, several relations among the Fourier expansion of Eisenstein series, the Lambert series and the number-theoretic functions are given.
dc.description.sponsorshipScientific Research Project Administration of Akdeniz UniversityAkdeniz University
dc.description.sponsorshipThe second author was supported by the Scientific Research Project Administration of Akdeniz University.
dc.identifier.doi10.2298/AADM181214033K
dc.identifier.endpage804en_US
dc.identifier.issn1452-8630
dc.identifier.issue3en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage787en_US
dc.identifier.urihttps://doi.org/10.2298/AADM181214033K
dc.identifier.urihttps://hdl.handle.net/20.500.12868/508
dc.identifier.volume13en_US
dc.identifier.wosWOS:000503720000009
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor0-belirlenecek
dc.language.isoen
dc.publisherUniv Belgrade, Fac Electrical Engineering
dc.relation.ispartofApplicable Analysis And Discrete Mathematics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectApostol-Bernoulli numbers
dc.subjectDirichlet convolution
dc.subjectDirichlet series
dc.subjectGenerating function
dc.subjectLambert series
dc.subjectPolylogarithm
dc.subjectLyndon words
dc.subjectNecklace polynomial
dc.subjectNumber-theoretic function
dc.titleIdentities for dirichlet and lambert-type series arising from the numbers of a certain special word
dc.typeConference Object

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