Publicação: Zeros of Dirichlet polynomials via a density criterion
| dc.contributor.author | Oliveira, Willian D. [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2019-10-04T12:39:56Z | |
| dc.date.available | 2019-10-04T12:39:56Z | |
| dc.date.issued | 2019-10-01 | |
| dc.description.abstract | We obtain a necessary and sufficient condition in order that a semi-plane of the form R(s) > r, r is an element of R, is free of zeros of a given Dirichlet polynomial. The result may be considered a natural generalisation of a well-known criterion for the truth of the Riemann hypothesis due to Baez-Duarte. An analog for the case of Dirichlet polynomials of a result of Burnol which is closely related to Baez-Duarte's one is also established. (C) 2018 Elsevier Inc. All rights reserved. | en |
| dc.description.affiliation | Univ Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.affiliationUnesp | Univ Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorshipId | FAPESP: 2013/14881-9 | |
| dc.description.sponsorshipId | FAPESP: 2016/09906-0 | |
| dc.description.sponsorshipId | FAPESP: 2017/15223-6 | |
| dc.format.extent | 80-94 | |
| dc.identifier | http://dx.doi.org/10.1016/j.jnt.2018.02.001 | |
| dc.identifier.citation | Journal Of Number Theory. San Diego: Academic Press Inc Elsevier Science, v. 203, p. 80-94, 2019. | |
| dc.identifier.doi | 10.1016/j.jnt.2018.02.001 | |
| dc.identifier.issn | 0022-314X | |
| dc.identifier.uri | http://hdl.handle.net/11449/185937 | |
| dc.identifier.wos | WOS:000476856600005 | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier B.V. | |
| dc.relation.ispartof | Journal Of Number Theory | |
| dc.rights.accessRights | Acesso aberto | |
| dc.source | Web of Science | |
| dc.subject | The Nyman-Beurling criterion | |
| dc.subject | Baez-Duarte's criterion | |
| dc.subject | Dirichlet polynomial | |
| dc.subject | Semi-plane free of zeros | |
| dc.subject | Lubinsky's Dirichlet orthogonal polynomials | |
| dc.title | Zeros of Dirichlet polynomials via a density criterion | en |
| dc.type | Artigo | |
| dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dcterms.rightsHolder | Elsevier B.V. | |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática Aplicada - IBILCE | pt |