The Riemann hypothesis and an upper bound of the divisor function for odd integers

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dc.contributor.authorEum, Ick-Sunko
dc.contributor.authorKoo, Ja-Kyungko
dc.date.accessioned2015-04-08T06:27:49Z-
dc.date.available2015-04-08T06:27:49Z-
dc.date.created2015-03-23-
dc.date.created2015-03-23-
dc.date.issued2015-01-
dc.identifier.citationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.421, no.1, pp.917 - 924-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/10203/195805-
dc.description.abstractIn [6] Robin showed that the Riemann hypothesis is equivalent to the statement that Robin's inequality sigma (n) < e(gamma) n log log n holds for n >= 5041, where gamma is the Euler-Mascheroni constant. We provide a sharper bound for sigma (n) than Robin's one for integers, by using the ideas of Choie et al. [1], and show that Robin's inequality holds for n not equivalent to 0 (mod 3) with finitely many exceptions.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectVALUES-
dc.titleThe Riemann hypothesis and an upper bound of the divisor function for odd integers-
dc.typeArticle-
dc.identifier.wosid000349939100054-
dc.identifier.scopusid2-s2.0-84925742020-
dc.type.rimsART-
dc.citation.volume421-
dc.citation.issue1-
dc.citation.beginningpage917-
dc.citation.endingpage924-
dc.citation.publicationnameJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.identifier.doi10.1016/j.jmaa.2014.07.063-
dc.contributor.localauthorKoo, Ja-Kyung-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorRiemann hypothesis-
dc.subject.keywordAuthorRobin&apos-
dc.subject.keywordAuthors inequality-
dc.subject.keywordAuthorDivisor function-
dc.subject.keywordAuthorEuler totient function-
dc.subject.keywordPlusVALUES-
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