DC Field | Value | Language |
---|---|---|
dc.contributor.author | Eum, Ick-Sun | ko |
dc.contributor.author | Koo, Ja-Kyung | ko |
dc.date.accessioned | 2015-04-08T06:27:49Z | - |
dc.date.available | 2015-04-08T06:27:49Z | - |
dc.date.created | 2015-03-23 | - |
dc.date.created | 2015-03-23 | - |
dc.date.issued | 2015-01 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.421, no.1, pp.917 - 924 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | http://hdl.handle.net/10203/195805 | - |
dc.description.abstract | In [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.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | VALUES | - |
dc.title | The Riemann hypothesis and an upper bound of the divisor function for odd integers | - |
dc.type | Article | - |
dc.identifier.wosid | 000349939100054 | - |
dc.identifier.scopusid | 2-s2.0-84925742020 | - |
dc.type.rims | ART | - |
dc.citation.volume | 421 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 917 | - |
dc.citation.endingpage | 924 | - |
dc.citation.publicationname | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.identifier.doi | 10.1016/j.jmaa.2014.07.063 | - |
dc.contributor.localauthor | Koo, Ja-Kyung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Riemann hypothesis | - |
dc.subject.keywordAuthor | Robin&apos | - |
dc.subject.keywordAuthor | s inequality | - |
dc.subject.keywordAuthor | Divisor function | - |
dc.subject.keywordAuthor | Euler totient function | - |
dc.subject.keywordPlus | VALUES | - |
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