A note on the real projection of the zeros of partial sums of Riemann zeta function

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Title: A note on the real projection of the zeros of partial sums of Riemann zeta function
Authors: Dubon, Eric | Mora, Gaspar | Sepulcre, Juan Matias | Úbeda García, José Ignacio | Vidal, Tomás
Research Group/s: Curvas Alpha-Densas. Análisis y Geometría Local
Center, Department or Service: Universidad de Alicante. Departamento de Análisis Matemático
Keywords: Zeros of entire functions | Exponential polynomials | Almost-periodic functions | Partial sums of the Riemann zeta function
Knowledge Area: Análisis Matemático
Issue Date: Sep-2014
Publisher: Springer
Citation: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 2014, 108(2): 317-333. doi:10.1007/s13398-012-0094-2
Abstract: This paper proves that the real projection of each simple zero of any partial sum of the Riemann zeta function ζn(s):=∑nk=11ks,n>2 , is an accumulation point of the set {Res : ζ n (s) = 0}.
URI: http://hdl.handle.net/10045/45569
ISSN: 1578-7303 (Print) | 1579-1505 (Online)
DOI: 10.1007/s13398-012-0094-2
Language: eng
Type: info:eu-repo/semantics/article
Rights: The final publication is available at Springer via http://dx.doi.org/10.1007/s13398-012-0094-2
Peer Review: si
Publisher version: http://dx.doi.org/10.1007/s13398-012-0094-2
Appears in Collections:INV - CADAGL - Artículos de Revistas

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