Some Results on Harmonic Type Sums

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dc.contributor.authorGöral, Haydar
dc.contributor.authorSertbaş, Doğa Can
dc.date.accessioned2023-04-10T20:23:51Z
dc.date.available2023-04-10T20:23:51Z
dc.date.issued2020
dc.departmentRektörlük, Rektörlüğe Bağlı Birimler, Düzce Üniversitesi Dergilerien_US
dc.description.abstractIn this study, we consider the summatory function of convolutions of the Möbius function with harmonic numbers,and we show that these summatory functions are linked to the distribution of prime numbers. In particular, we giveinfinitely many asymptotics which are consequences of the Riemann hypothesis. We also give quantitativeestimate for the moment function which counts non-integer hyperharmonic numbers. Then, we obtain theasymptotic behaviour of hyperharmonics.en_US
dc.identifier.doi10.29130/dubited.622285
dc.identifier.endpage653en_US
dc.identifier.issn2148-2446
dc.identifier.issue1en_US
dc.identifier.startpage642en_US
dc.identifier.trdizinid389953en_US
dc.identifier.urihttp://doi.org/10.29130/dubited.622285
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/389953
dc.identifier.urihttps://hdl.handle.net/20.500.12684/11592
dc.identifier.volume8en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofDüzce Üniversitesi Bilim ve Teknoloji Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleSome Results on Harmonic Type Sumsen_US
dc.typeArticleen_US

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