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Asymptotics of Keiper-Li coefficients

dc.creatorArias de Reyna Martínez, Juanes
dc.date.accessioned2016-10-05T11:04:07Z
dc.date.available2016-10-05T11:04:07Z
dc.date.issued2011
dc.identifier.citationArias de Reyna Martínez, J. (2011). Asymptotics of Keiper-Li coefficients. Functiones et Approximatio Commentarii Mathematici, 45 (1), 7-21.
dc.identifier.issn0208-6573es
dc.identifier.issn2080-9433es
dc.identifier.urihttp://hdl.handle.net/11441/47018
dc.description.abstractWe show that the Riemann Hypothesis is equivalent to the assertion (ym)∈ℓ2 where ymym is defined by λm=1/2(logm+γ−log(2π)−1)+ym, and mλm represents the numbers in Xian-Jin Li's criterion. This confirms and further sharpens a conjecture of J. B. Keiper. We also present some other hypotheses equivalent to the Riemann Hypothesis.es
dc.description.sponsorshipMinisterio de Educación y Cienciaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherAdam Mickiewicz University, Faculty of Mathematics and Computer Sciencees
dc.relation.ispartofFunctiones et Approximatio Commentarii Mathematici, 45 (1), 7-21.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectRiemann hypothesises
dc.subjectKeiper-Li coefficientses
dc.subjectZeta functiones
dc.titleAsymptotics of Keiper-Li coefficientses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDMTM2006-05622es
dc.relation.publisherversionhttps://projecteuclid.org/download/pdf_1/euclid.facm/1317045228es
dc.identifier.doi10.7169/facm/1317045228es
dc.contributor.groupUniversidad de Sevilla. FQM104: Analisis Matemáticoes
idus.format.extent15 p.es
dc.journaltitleFunctiones et Approximatio Commentarii Mathematicies
dc.publication.volumen45es
dc.publication.issue1es
dc.publication.initialPage7es
dc.publication.endPage21es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/47018
dc.contributor.funderMinisterio de Educación y Ciencia (MEC). España

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