On the existence of equivalent Dirichlet polynomials whose zeros preserve a topological property
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http://hdl.handle.net/10045/74847
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DC Field | Value | Language |
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dc.contributor | Curvas Alpha-Densas. Análisis y Geometría Local | es_ES |
dc.contributor.author | Dubon, Eric | - |
dc.contributor.author | Sepulcre, Juan Matias | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2018-04-18T09:06:28Z | - |
dc.date.available | 2018-04-18T09:06:28Z | - |
dc.date.issued | 2018-04 | - |
dc.identifier.citation | International Journal of Number Theory. 2018, 14: 713. doi:10.1142/S1793042118500458 | es_ES |
dc.identifier.issn | 1793-0421 (Print) | - |
dc.identifier.issn | 1793-7310 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/74847 | - |
dc.description.abstract | In this paper, we study the distribution of zeros of the ordinary Dirichlet polynomials which are generated by an equivalence relation introduced by Harald Bohr. Through the use of completely multiplicative functions, we construct equivalent Dirichlet polynomials which have the same critical strip, where all their zeros are situated, and satisfy the same topological property consisting of possessing zeros arbitrarily near every vertical line contained in some substrips inside their critical strip. We also show that the real projections of the zeros of the partial sums of the alternating zeta function, for some particular cases, are dense in their critical intervals. | es_ES |
dc.description.sponsorship | The second author's research was partially supported by Generalitat Valenciana under project GV/2015/035. | es_ES |
dc.language | eng | es_ES |
dc.publisher | World Scientific Publishing | es_ES |
dc.rights | © World Scientific Publishing | es_ES |
dc.subject | Dirichlet polynomials | es_ES |
dc.subject | Dirichlet character | es_ES |
dc.subject | Multiplicative functions | es_ES |
dc.subject | Bohr’s equivalence | es_ES |
dc.subject | Zeros of entire functions | es_ES |
dc.subject.other | Análisis Matemático | es_ES |
dc.title | On the existence of equivalent Dirichlet polynomials whose zeros preserve a topological property | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.1142/S1793042118500458 | - |
dc.relation.publisherversion | https://doi.org/10.1142/S1793042118500458 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
Appears in Collections: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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2018_Dubon_Sepulcre_IntJNumberTheory_accepted.pdf | Accepted Manuscript (acceso abierto) | 343,21 kB | Adobe PDF | Open Preview |
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