On the closure of the real parts of the zeros of a class of exponential polynomials
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Title: | On the closure of the real parts of the zeros of a class of exponential polynomials |
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Authors: | Mora, Gaspar |
Research Group/s: | Curvas Alpha-Densas. Análisis y Geometría Local |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
Keywords: | Zeros of the partial sums of the Riemann zeta function | Exponential polynomials | Diophantine approximation |
Knowledge Area: | Análisis Matemático |
Issue Date: | Apr-2019 |
Publisher: | Springer International Publishing |
Citation: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 2019, 113(2): 327-332. doi:10.1007/s13398-017-0470-z |
Abstract: | In this paper we give a characterization of the set RPN(z):={Rz:PN(z)=0}, in terms of the position of a line with respect to an analytic variety, with PN(z) belonging to a large class P(z) of exponential polynomials which can be expressed of the form 1+∑Nj=1aje−zγj.r, where N, M are positive integers, aj∈R with aj≠0, γj=(γj1,γj2,…,γjM), j=1,…,N, are non- null vectors, distinct, with non-negative integers components, r=(r1,r2,…,rM) is a vector of RM with positive rationally independent components, γj.r is the inner product of γj by r in RM, and, for some 1≤jN≤N, is γjN.γj=0 , for all j≠jN. |
Sponsor: | This work was partially supported by a grant from El Ministerio de Economía y Competitividad, Spain (MTM 2014-52865-P). |
URI: | http://hdl.handle.net/10045/91593 |
ISSN: | 1578-7303 (Print) | 1579-1505 (Online) |
DOI: | 10.1007/s13398-017-0470-z |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © Springer-Verlag Italia S.r.l., part of Springer Nature 2017 |
Peer Review: | si |
Publisher version: | https://doi.org/10.1007/s13398-017-0470-z |
Appears in Collections: | INV - CADAGL - Artículos de Revistas |
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2019_Mora_RACSAM_final.pdf | Versión final (acceso restringido) | 260,65 kB | Adobe PDF | Open Request a copy |
2019_Mora_RACSAM_preprint.pdf | Preprint (acceso abierto) | 974,96 kB | Adobe PDF | Open Preview |
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