Gamma series associated to elements satisfying regularized double shuffle relations
type: Item
instance of: scholarly article
title: Gamma series associated to elements satisfying regularized double shuffle relations
zbMATH Open document ID: 1221.11185
author: Zhonghua Li
published in: Journal of Number Theory
publication date: 2010-01-08T00:00:00Z
review text: Let \(K\) be a field of characteristic zero, \(R\) a commutative \(K\)-algebra, \( \Phi(x_0,x_1)\in R\langle\langle x_0,x_1\rangle\rangle\) with regularized double shuffle relations. The author defines a gamma series \(\Gamma_\Phi(s)\in 1+s^2Rs\) and proves that the associated beta series is the image of \(\Phi_Y(x_0,x_1)\) in the commutative formal power series ring \(Rx_0,x_1\), where \(\Phi_Y(x_0,x_1)=1+\Phi_1 x_1\), \(\Phi=1+\Phi_0x_0+\Phi_1x_1\).
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11M32
zbMATH DE Number: 5654992
zbMATH Keywords: multiple zeta values
zbMATH Keywords: double shuffle relations
MaRDI profile type: Publication
full work available at URL: j.jnt.2009.08.010
OpenAlex ID: W2070384062
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DOI: 10.1016/J.JNT.2009.08.010
description: scientific article; zbMATH DE number 5654992