Barnes' multiple zeta function and Apostol's generalized Dedekind sum
type: Item
instance of: scholarly article
title: Barnes' multiple zeta function and Apostol's generalized Dedekind sum
zbMATH Open document ID: 1075.11029
published in: Tokyo Journal of Mathematics
publication date: 2005-01-04T00:00:00Z
review text: In this continuation of an earlier work [\textit{K. Katayama}, Tokyo J. Math. 27, No. 1, 41--56 (2004; Zbl 1075.11025)] the author uses Barnes triple zeta function and residue calculus to derive a new ``three term relation'' for the reviewer's generalized Dedekind sums. This is of special interest because it differs from Rademacher's famous three term relation for the special case of classical Dedekind sums.
Mathematics Subject Classification ID: 11F20
zbMATH DE Number: 2124818
author: Koji Katayama
reviewed by: Tom M. Apostol
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1244208474
OpenAlex ID: W2071740058
DOI: 10.3836/TJM/1244208474
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description: scientific article; zbMATH DE number 2124818