Computing the zeros of the partial sums of the Riemann zeta function

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Title: Computing the zeros of the partial sums of the Riemann zeta function
Authors: Mora, Gaspar | Sepulcre, Juan Matias
Research Group/s: Curvas Alpha-Densas. Análisis y Geometría Local
Center, Department or Service: Universidad de Alicante. Departamento de Matemáticas
Keywords: Zeros of entire functions | Exponential polynomials | Partial sums of the Riemann Zeta function
Knowledge Area: Análisis Matemático
Issue Date: Oct-2015
Publisher: Springer Berlin Heidelberg
Citation: Annali di Matematica Pura ed Applicata. 2015, 194(5): 1499-1504. doi:10.1007/s10231-014-0430-6
Abstract: In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riemann zeta function inside infinitely many rectangles of the critical strips where they are situated.
URI: http://hdl.handle.net/10045/52991
ISSN: 0373-3114 (Print) | 1618-1891 (Online)
DOI: 10.1007/s10231-014-0430-6
Language: eng
Type: info:eu-repo/semantics/article
Rights: © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2014. The final publication is available at Springer via http://dx.doi.org/10.1007/s10231-014-0430-6
Peer Review: si
Publisher version: http://dx.doi.org/10.1007/s10231-014-0430-6
Appears in Collections:INV - CADAGL - Artículos de Revistas

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