Sums of certain series of the Riemann zeta function
type: Item
instance of: scholarly article
title: Sums of certain series of the Riemann zeta function
zbMATH Open document ID: 0632.10040
DOI: 10.1016/0022-247X(88)90013-3
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The object of the present paper is to investigate systematically several interesting families of summation formulas involving finite series of the Riemann zeta-function. Many of the various results, which are unified (and generalized) here in a remarkably simple manner, have received considerable attention in recent years. We also present a brief account of a number of analogous results associated with the (Hurwitz's) generalized zeta-function.
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11M35
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 4027588
zbMATH Keywords: summation formula
zbMATH Keywords: Riemann zeta-function
zbMATH Keywords: Hurwitz zeta-function
author: H. M. Srivastava
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
cites work: Q5558293
cites work: Some Series Involving the Riemann Zeta Function
cites work: Q5824493
cites work: Q3671491
cites work: Q4057485
cites work: Q5535148
cites work: Q5733641
cites work: Notes on Riemann's ζ-Function
cites work: A Remark on Stirling's Formula
cites work: Q3315592
cites work: Q4124890
cites work: Q5803461
cites work: Q3697102
cites work: Q3844537
full work available at URL: 0022-247x(88)90013-3
OpenAlex ID: W2001830030
description: scientific article; zbMATH DE number 4027588