The Critical Strips of the Sums 1 + 2z + ... + nz

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Title: The Critical Strips of the Sums 1 + 2z + ... + nz
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 Análisis Matemático
Keywords: Partition | Critical strip | Riemann zeta function
Knowledge Area: Análisis Matemático
Issue Date: 2011
Publisher: Hindawi Publishing Corporation
Citation: Abstract and Applied Analysis. 2011, Article ID 909674, 15 pages. doi:10.1155/2011/909674
Abstract: We give a partition of the critical strip, associated with each partial sum 1 + 2z + ... + nz of the Riemann zeta function for Re z < −1, formed by infinitely many rectangles for which a formula allows us to count the number of its zeros inside each of them with an error, at most, of two zeros. A generalization of this formula is also given to a large class of almost-periodic functions with bounded spectrum.
URI: http://hdl.handle.net/10045/34680
ISSN: 1085-3375 (Print) | 1687-0409 (Online)
DOI: 10.1155/2011/909674
Language: eng
Type: info:eu-repo/semantics/article
Rights: Copyright © 2011 G. Mora and J. M. Sepulcre. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Peer Review: si
Publisher version: http://dx.doi.org/10.1155/2011/909674
Appears in Collections:INV - CADAGL - Artículos de Revistas

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