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Article: On the mean square formula of the error term in the Dirichlet divisor problem
Title | On the mean square formula of the error term in the Dirichlet divisor problem | ||||
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Authors | |||||
Issue Date | 2009 | ||||
Publisher | Cambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=PSP | ||||
Citation | Mathematical Proceedings Of The Cambridge Philosophical Society, 2009, v. 146 n. 2, p. 277-287 How to Cite? | ||||
Abstract | Let F(x) be the remainder term in the mean square formula of the error term (t) in the Dirichlet divisor problem. We improve on the upper estimate of F(x) obtained by Preissmann around twenty years ago. The method is robust, which applies to the same problem for the error terms in the circle problem and the mean square formula of the Riemann zeta-function. © Cambridge Philosophical Society 2008. | ||||
Persistent Identifier | http://hdl.handle.net/10722/58969 | ||||
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.929 | ||||
ISI Accession Number ID |
Funding Information: The work described in this paper was fully supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (HKU 7042/04P). | ||||
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DC Field | Value | Language |
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dc.contributor.author | Lau, YK | en_HK |
dc.contributor.author | Tsang, KM | en_HK |
dc.date.accessioned | 2010-05-31T03:40:33Z | - |
dc.date.available | 2010-05-31T03:40:33Z | - |
dc.date.issued | 2009 | en_HK |
dc.identifier.citation | Mathematical Proceedings Of The Cambridge Philosophical Society, 2009, v. 146 n. 2, p. 277-287 | en_HK |
dc.identifier.issn | 0305-0041 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/58969 | - |
dc.description.abstract | Let F(x) be the remainder term in the mean square formula of the error term (t) in the Dirichlet divisor problem. We improve on the upper estimate of F(x) obtained by Preissmann around twenty years ago. The method is robust, which applies to the same problem for the error terms in the circle problem and the mean square formula of the Riemann zeta-function. © Cambridge Philosophical Society 2008. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Cambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=PSP | en_HK |
dc.relation.ispartof | Mathematical Proceedings of the Cambridge Philosophical Society | en_HK |
dc.rights | Mathematical Proceedings of the Cambridge Philosophical Society. Copyright © Cambridge University Press. | en_HK |
dc.title | On the mean square formula of the error term in the Dirichlet divisor problem | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1469-8064 &volume=146&spage=277&epage=287&date=2009&atitle=On+the+mean+square+formula+of+the+error+term+in+the+Dirichlet+divisor+problem | en_HK |
dc.identifier.email | Lau, YK:yklau@maths.hku.hk | en_HK |
dc.identifier.email | Tsang, KM:kmtsang@maths.hku.hk | en_HK |
dc.identifier.authority | Lau, YK=rp00722 | en_HK |
dc.identifier.authority | Tsang, KM=rp00793 | en_HK |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1017/S0305004108001874 | en_HK |
dc.identifier.scopus | eid_2-s2.0-68349151247 | en_HK |
dc.identifier.hkuros | 155620 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-68349151247&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 146 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 277 | en_HK |
dc.identifier.epage | 287 | en_HK |
dc.identifier.eissn | 1469-8064 | - |
dc.identifier.isi | WOS:000264237600003 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.relation.project | Error Terms in the Summatory Formula for certain Arithmetical Functions | - |
dc.identifier.scopusauthorid | Lau, YK=35724053400 | en_HK |
dc.identifier.scopusauthorid | Tsang, KM=7201554731 | en_HK |
dc.identifier.issnl | 0305-0041 | - |