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Article: Frequency of oscillations of an error term related to the Euler function

TitleFrequency of oscillations of an error term related to the Euler function
Authors
Lau, YKPétermann, YFS
Issue Date2000
PublisherLondon Mathematical Society. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=MTK
Citation
Mathematika, 2000, v. 47 n. 1-2, p. 161-164 How to Cite?
DOI: http://dx.doi.org/10.1112/S0025579300015783
AbstractLet φ be the Euler function, and consider the error term H in the asymptotic formula Σn≤x φ(n)/n = 6/π2x+H(X). It is proved that, for any fixed real number A, there are at least CAT+ 0(1) integers n ∈[1, T] such that (H(n) - A)(H(n+1)-A)<0, where 0 < CA < 1 is a constant depending on A.
Persistent Identifierhttp://hdl.handle.net/10722/156101
ISSN
0025-5793
2021 Impact Factor: 0.762
2020 SCImago Journal Rankings: 0.955
ISI Accession Number ID
WOS:000177538900013
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLau, YKen_US
dc.contributor.authorPétermann, YFSen_US
dc.date.accessioned2012-08-08T08:40:25Z-
dc.date.available2012-08-08T08:40:25Z-
dc.date.issued2000en_US
dc.identifier.citationMathematika, 2000, v. 47 n. 1-2, p. 161-164en_US
dc.identifier.issn0025-5793en_US
dc.identifier.urihttp://hdl.handle.net/10722/156101-
dc.description.abstractLet φ be the Euler function, and consider the error term H in the asymptotic formula Σn≤x φ(n)/n = 6/π2x+H(X). It is proved that, for any fixed real number A, there are at least CAT+ 0(1) integers n ∈[1, T] such that (H(n) - A)(H(n+1)-A)<0, where 0 < CA < 1 is a constant depending on A.en_US
dc.languageengen_US
dc.publisherLondon Mathematical Society. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=MTKen_US
dc.relation.ispartofMathematikaen_US
dc.titleFrequency of oscillations of an error term related to the Euler functionen_US
dc.typeArticleen_US
dc.identifier.emailLau, YK:yklau@maths.hku.hken_US
dc.identifier.authorityLau, YK=rp00722en_US
dc.description.naturepostprinten_US
dc.identifier.doi10.1112/S0025579300015783-
dc.identifier.scopuseid_2-s2.0-0039606379en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0039606379&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume47en_US
dc.identifier.issue1-2en_US
dc.identifier.spage161en_US
dc.identifier.epage164en_US
dc.identifier.isiWOS:000177538900013-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLau, YK=35724053400en_US
dc.identifier.scopusauthoridPétermann, YFS=6602834924en_US
dc.identifier.issnl0025-5793-

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