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dc.contributor.editorBorwein, Jonathan M.es
dc.contributor.editorShparlinski, Igores
dc.contributor.editorZudilin, Wadimes
dc.creatorArias de Reyna Martínez, Juanes
dc.creatorBrent, Richard P.es
dc.creatorVan de Lune, Janes
dc.date.accessioned2016-10-19T10:51:36Z
dc.date.available2016-10-19T10:51:36Z
dc.date.issued2013
dc.identifier.isbn9781461466413es
dc.identifier.isbn9781461466420es
dc.identifier.issn2194-1009es
dc.identifier.issn2194-1017es
dc.identifier.urihttp://hdl.handle.net/11441/47773
dc.description.abstractWe consider the distribution of argζ(σ +it) on fixed lines σ > 1/2, and in particular the density d(σ) = lim T→+∞ 1/2T |{t ∈ [−T,+T] : |argζ(σ +it)| > π/2}|, and the closely related density d−(σ) = lim T→+∞ 1/2T |{t ∈ [−T,+T] : ℜζ(σ +it) < 0}|. Using classical results of Bohr and Jessen, we obtain an explicit expression for the characteristic function ψσ(x) associated with argζ(σ + it). We give explicit expressions for d(σ) and d−(σ) in terms of ψσ(x). Finally, we give a practical algorithm for evaluating these expressions to obtain accurate numerical values of d(σ) and d−(σ).es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofNumber Theory and Related Fieldses
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleOn the sign of the real part of the Riemann zeta-functiones
dc.typeinfo:eu-repo/semantics/bookPartes
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.publisherversionhttp://download.springer.com/static/pdf/521/chp%253A10.1007%252F978-1-4614-6642-0_3.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Fchapter%2F10.1007%2F978-1-4614-6642-0_3&token2=exp=1476875263~acl=%2Fstatic%2Fpdf%2F521%2Fchp%25253A10.1007%25252F978-1-4614-6642-0_3.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Fchapter%252F10.1007%252F978-1-4614-6642-0_3*~hmac=9d02098cd601902774d534f95e97ba06b6e7c2b833e9ce0e11cf53f52840b892es
dc.identifier.doi10.1007/978-1-4614-6642-0 3es
dc.contributor.groupUniversidad de Sevilla. FQM104: Analisis Matematicoes
idus.format.extent22 p.es
dc.publication.initialPage75es
dc.publication.endPage97es
dc.relation.publicationplaceNew Yorkes
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/47773

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