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 INV - GAM - Artículos de Revistas

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