On the existence of equivalent Dirichlet polynomials whose zeros preserve a topological property
Empreu sempre aquest identificador per citar o enllaçar aquest ítem
http://hdl.handle.net/10045/74847
Títol: | On the existence of equivalent Dirichlet polynomials whose zeros preserve a topological property |
---|---|
Autors: | Dubon, Eric | Sepulcre, Juan Matias |
Grups d'investigació o GITE: | Curvas Alpha-Densas. Análisis y Geometría Local |
Centre, Departament o Servei: | Universidad de Alicante. Departamento de Matemáticas |
Paraules clau: | Dirichlet polynomials | Dirichlet character | Multiplicative functions | Bohr’s equivalence | Zeros of entire functions |
Àrees de coneixement: | Análisis Matemático |
Data de publicació: | d’abril-2018 |
Editor: | World Scientific Publishing |
Citació bibliogràfica: | International Journal of Number Theory. 2018, 14: 713. doi:10.1142/S1793042118500458 |
Resum: | 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. |
Patrocinadors: | The second author's research was partially supported by Generalitat Valenciana under project GV/2015/035. |
URI: | http://hdl.handle.net/10045/74847 |
ISSN: | 1793-0421 (Print) | 1793-7310 (Online) |
DOI: | 10.1142/S1793042118500458 |
Idioma: | eng |
Tipus: | info:eu-repo/semantics/article |
Drets: | © World Scientific Publishing |
Revisió científica: | si |
Versió de l'editor: | https://doi.org/10.1142/S1793042118500458 |
Apareix a la col·lecció: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
Arxius per aquest ítem:
Arxiu | Descripció | Tamany | Format | |
---|---|---|---|---|
2018_Dubon_Sepulcre_IntJNumberTheory_accepted.pdf | Accepted Manuscript (acceso abierto) | 343,21 kB | Adobe PDF | Obrir Vista prèvia |
Tots els documents dipositats a RUA estan protegits per drets d'autors. Alguns drets reservats.