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Conference Paper: On some mean values for the divisor function and the Riemann zeta-function

TitleOn some mean values for the divisor function and the Riemann zeta-function
Authors
Issue Date2017
PublisherSteklov Mathematical Institute of Russian Academy of Sciences.
Citation
A.A. Karatsuba's 80th Birthday Conference in Number Theory and Applications, Moscow, Russia, 22-27 May 2017 How to Cite?
AbstractLet Δ(x) and E(x) denote respectively the error terms in the summatory formula for the divisor function and the mean square formula for ζ(s) on the critical line. In this talk we shall discuss some general mean values for Δ(x) and E(x). From these mean value results, we observe intrinsic difference between these two functions, which suggests that E(x) is more negative then Δ(x).
Persistent Identifierhttp://hdl.handle.net/10722/252373

 

DC FieldValueLanguage
dc.contributor.authorTsang, KM-
dc.date.accessioned2018-04-19T03:28:26Z-
dc.date.available2018-04-19T03:28:26Z-
dc.date.issued2017-
dc.identifier.citationA.A. Karatsuba's 80th Birthday Conference in Number Theory and Applications, Moscow, Russia, 22-27 May 2017-
dc.identifier.urihttp://hdl.handle.net/10722/252373-
dc.description.abstractLet Δ(x) and E(x) denote respectively the error terms in the summatory formula for the divisor function and the mean square formula for ζ(s) on the critical line. In this talk we shall discuss some general mean values for Δ(x) and E(x). From these mean value results, we observe intrinsic difference between these two functions, which suggests that E(x) is more negative then Δ(x).-
dc.languageeng-
dc.publisherSteklov Mathematical Institute of Russian Academy of Sciences. -
dc.relation.ispartofA.A. Karatsuba's 80th Birthday Conference in Number Theory and Applications-
dc.titleOn some mean values for the divisor function and the Riemann zeta-function-
dc.typeConference_Paper-
dc.identifier.emailTsang, KM: kmtsang@hkucc.hku.hk-
dc.identifier.authorityTsang, KM=rp00793-
dc.description.naturelink_to_OA_fulltext-
dc.identifier.hkuros278423-
dc.publisher.placeRussia-

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