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


Autoria(s): Mora Martínez, Gaspar; Sepulcre, Juan Matias
Contribuinte(s)

Universidad de Alicante. Departamento de Matemáticas

Curvas Alpha-Densas. Análisis y Geometría Local

Data(s)

10/02/2016

10/02/2016

01/10/2015

Resumo

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.

Identificador

Annali di Matematica Pura ed Applicata. 2015, 194(5): 1499-1504. doi:10.1007/s10231-014-0430-6

0373-3114 (Print)

1618-1891 (Online)

http://hdl.handle.net/10045/52991

10.1007/s10231-014-0430-6

Idioma(s)

eng

Publicador

Springer Berlin Heidelberg

Relação

http://dx.doi.org/10.1007/s10231-014-0430-6

Direitos

© 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

info:eu-repo/semantics/openAccess

Palavras-Chave #Zeros of entire functions #Exponential polynomials #Partial sums of the Riemann Zeta function #Análisis Matemático
Tipo

info:eu-repo/semantics/article