Some multi-set inclusions associated with shuffle convolutions and multiple zeta values
type: Item
instance of: scholarly article
title: Some multi-set inclusions associated with shuffle convolutions and multiple zeta values
zbMATH Open document ID: 1016.11035
DOI: 10.1016/S0195-6698(02)00117-8
author: Douglas Bowman
author: David M. Bradley
author: Ji Hoon Ryoo
published in: European Journal of Combinatorics
publication date: 2003-04-09T00:00:00Z
review text: The authors develop a new method for obtaining combinatorial identities involving shuffle convolutions [see \textit{D. Bowman} and \textit{D. M. Bradley}, J. Comb. Theory, Ser. A 97, 43-61 (2002; Zbl 1021.11026)]. As an application, a new proof of the formula \(\zeta (3,1,3,1,\ldots ,3,1)=2\pi^{4n}/(4n+2)!\), where \(\{ 3,1\}\) is repeated \(n\) times, is given. Some new identities for the multiple zeta function are also obtained.
reviewed by: Anatoly N. Kochubei
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 05A99
Mathematics Subject Classification ID: 05E99
zbMATH DE Number: 1895804
zbMATH Keywords: shuffle product
zbMATH Keywords: shuffle convolution
zbMATH Keywords: multiple zeta function
Wikidata QID: Q54976201
MaRDI profile type: Publication
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DBLP publication ID: journals/ejc/BowmanBR03
description: scientific article; zbMATH DE number 1895804