Hyperharmonic series involving Hurwitz zeta function
type: Item
instance of: scholarly article
title: Hyperharmonic series involving Hurwitz zeta function
zbMATH Open document ID: 1225.11032
author: Ayhan Dil
author: István Mező
published in: Journal of Number Theory
publication date: 2010-01-08T00:00:00Z
full work available at URL: http://hdl.handle.net/2437/90539
review text: For integers \(r\geq 1\) and \(m\geq r+1\) the authors prove that \[ \sum_{n=1}^\infty\frac{H_n^{(r)}}{n^m}=\sum_{n=1}^\infty H_n^{(r-1)}\sum_{p=0}^\infty\frac{1}{(n+p)^m}, \] where \(H_n^{(r)}\) are the hyperharmonic numbers.
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 11M35
zbMATH DE Number: 5655000
zbMATH Keywords: hyperharmonic numbers
zbMATH Keywords: Hurwitz zeta function
Wikidata QID: Q55899677
MaRDI profile type: Publication
OpenAlex ID: W2094848778
cites work: Q4882943
cites work: Q4831463
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DOI: 10.1016/J.JNT.2009.08.005
description: scientific article; zbMATH DE number 5655000