Geometric sequences and zero-free region of the zeta function
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yang, Jongho | - |
dc.date.accessioned | 2021-09-02T15:14:31Z | - |
dc.date.available | 2021-09-02T15:14:31Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2018-02 | - |
dc.identifier.issn | 1631-073X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/77476 | - |
dc.description.abstract | Let N be the linear space of functions Sigma(n)(k=1) a(k)rho(theta(k)/x) with a condition Sigma(n)(k=1) a(k)theta(k) = 0 for 0 < theta(k) <= 1. Here rho(x) denotes the fractional part of x. Beurling pointed out that the problem of how well a constant function can be approximated by functions in N is closely related to the zero-free region of the Riemann zeta function. More precisely, Baez-Duarte gave a zero-free region related to a L-p-norm estimation of a constant function by using the Dirichlet series for the zeta function. In this paper, we consider the L-infinity-norm estimation of a constant function and give a wider zero-free region than that of the Baez-Duarte result. (c) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER | - |
dc.subject | RIEMANN-HYPOTHESIS | - |
dc.subject | MOBIUS FUNCTION | - |
dc.title | Geometric sequences and zero-free region of the zeta function | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Yang, Jongho | - |
dc.identifier.doi | 10.1016/j.crma.2017.11.021 | - |
dc.identifier.scopusid | 2-s2.0-85039915554 | - |
dc.identifier.wosid | 000425265000005 | - |
dc.identifier.bibliographicCitation | COMPTES RENDUS MATHEMATIQUE, v.356, no.2, pp.133 - 137 | - |
dc.relation.isPartOf | COMPTES RENDUS MATHEMATIQUE | - |
dc.citation.title | COMPTES RENDUS MATHEMATIQUE | - |
dc.citation.volume | 356 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 133 | - |
dc.citation.endPage | 137 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | RIEMANN-HYPOTHESIS | - |
dc.subject.keywordPlus | MOBIUS FUNCTION | - |
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