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Article: Omega result for the error term in the mean square formula for dirichlet L-functions

TitleOmega result for the error term in the mean square formula for dirichlet L-functions
Authors
Lau, YKTsang, KM
KeywordsAtkinson's formula
Mean-square formula
Omega-results
Issue Date2008
Citation
Annales Academiae Scientiarum Fennicae Mathematica, 2008, v. 33, p. 549-560 How to Cite?
AbstractLet q be a positive integer and let E(q, x) denote the error term in the asymptotic formula for the mean value ∑χ mod q ∫x 0 |L(1/2 + it, χ)|2 dt. We obtain in this paper an Ω-result for E(q, x), which is an extension of the corresponding Ω-result for the Riemann zeta-function.
Persistent Identifierhttp://hdl.handle.net/10722/75460
ISSN
1239-629X
2022 Impact Factor: 0.9
2020 SCImago Journal Rankings: 0.865
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLau, YKen_HK
dc.contributor.authorTsang, KMen_HK
dc.date.accessioned2010-09-06T07:11:19Z-
dc.date.available2010-09-06T07:11:19Z-
dc.date.issued2008en_HK
dc.identifier.citationAnnales Academiae Scientiarum Fennicae Mathematica, 2008, v. 33, p. 549-560en_HK
dc.identifier.issn1239-629Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/75460-
dc.description.abstractLet q be a positive integer and let E(q, x) denote the error term in the asymptotic formula for the mean value ∑χ mod q ∫x 0 |L(1/2 + it, χ)|2 dt. We obtain in this paper an Ω-result for E(q, x), which is an extension of the corresponding Ω-result for the Riemann zeta-function.en_HK
dc.languageengen_HK
dc.relation.ispartofAnnales Academiae Scientiarum Fennicae Mathematicaen_HK
dc.subjectAtkinson's formulaen_HK
dc.subjectMean-square formulaen_HK
dc.subjectOmega-resultsen_HK
dc.titleOmega result for the error term in the mean square formula for dirichlet L-functionsen_HK
dc.typeArticleen_HK
dc.identifier.emailLau, YK:yklau@maths.hku.hken_HK
dc.identifier.emailTsang, KM:kmtsang@maths.hku.hken_HK
dc.identifier.authorityLau, YK=rp00722en_HK
dc.identifier.authorityTsang, KM=rp00793en_HK
dc.description.naturelink_to_OA_fulltext-
dc.identifier.scopuseid_2-s2.0-59949095227en_HK
dc.identifier.hkuros148665en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-59949095227&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume33en_HK
dc.identifier.spage549en_HK
dc.identifier.epage560en_HK
dc.identifier.scopusauthoridLau, YK=35724053400en_HK
dc.identifier.scopusauthoridTsang, KM=7201554731en_HK
dc.identifier.issnl1239-629X-

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