Mostrar el registro sencillo del ítem
Artículo
Some bounds and limits in the theory of Riemann's zeta function
dc.creator | Arias de Reyna Martínez, Juan | es |
dc.creator | Lune, Jan van de | es |
dc.date.accessioned | 2016-06-10T11:27:55Z | |
dc.date.available | 2016-06-10T11:27:55Z | |
dc.date.issued | 2012-12-01 | |
dc.identifier.citation | Arias de Reyna Martínez, J. y Van de Lune, J. (2012). Some bounds and limits in the theory of Riemann's zeta function. Journal of Mathematical Analysis and Applications, 396 (1), 199-214. | |
dc.identifier.issn | 1096-0813 | es |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | http://hdl.handle.net/11441/42131 | |
dc.description.abstract | For any real a > 0 we determine the supremum of the real σ such that ζ(σ+it) = a for some real t. For 0 < a < 1, a = 1, and a > 1 the results turn out to be quite different. We also determine the supremum E of the real parts of the ‘turning points’, that is points σ + it where a curve Im ζ(σ + it) = 0 has a vertical tangent. This supremum E (also considered by Titchmarsh) coincides with the supremum of the real σ such that ζ 0 (σ + it) = 0 for some real t. We find a surprising connection between the three indicated problems: ζ(s) = 1, ζ 0 (s) = 0 and turning points of ζ(s). The almost extremal values for these three problems appear to be located at approximately the same height. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 396 (1), 199-214. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | zeta function | es |
dc.subject | LLL algorithm | es |
dc.subject | extreme values | es |
dc.title | Some bounds and limits in the theory of Riemann's zeta function | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jmaa.2012.06.017 | es |
idus.format.extent | 28 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 396 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 199 | es |
dc.publication.endPage | 214 | es |
dc.relation.publicationplace | Amsterdam | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42131 |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Some bounds and limits in the ... | 544.6Kb | [PDF] | Ver/ | |