Privileged Regions in Critical Strips of Non-lattice Dirichlet Polynomials
Contribuinte(s) |
Universidad de Alicante. Departamento de Análisis Matemático Curvas Alpha-Densas. Análisis y Geometría Local |
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Data(s) |
26/06/2014
26/06/2014
01/08/2013
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Resumo |
This paper shows, by means of Kronecker’s theorem, the existence of infinitely many privileged regions called r -rectangles (rectangles with two semicircles of small radius r ) in the critical strip of each function Ln(z):= 1−∑nk=2kz , n≥2 , containing exactly [Tlogn2π]+1 zeros of Ln(z) , where T is the height of the r -rectangle and [⋅] represents the integer part. |
Identificador |
Complex Analysis and Operator Theory. 2013, 7(4): 1417-1426. doi:10.1007/s11785-012-0248-4 1661-8254 (Print) 1661-8262 (Online) http://hdl.handle.net/10045/38407 10.1007/s11785-012-0248-4 |
Idioma(s) |
eng |
Publicador |
Birkhäuser |
Relação |
http://dx.doi.org/10.1007/s11785-012-0248-4 |
Direitos |
The final publication is available at Springer via http://dx.doi.org/10.1007/s11785-012-0248-4 info:eu-repo/semantics/openAccess |
Palavras-Chave | #Zeros of exponential polynomials #Non-lattice Dirichlet polynomials #Kronecker theorem #Análisis Matemático |
Tipo |
info:eu-repo/semantics/article |