On multiple \(L\)-values
type: Item
instance of: scholarly article
title: On multiple \(L\)-values
zbMATH Open document ID: 1065.11068
author: T. Arakawa
author: Masanobu Kaneko
published in: Journal of the Mathematical Society of Japan
publication date: 2005-03-14T00:00:00Z
review text: Multiple zeta-values are certain iterated series over the set of positive integers. They occur naturally in combinatorics and number theory. Recently, connections have been found to other areas like knot theory, quantum groups, and algebraic geometry. Comparing the sum expression and an integral representation of multiple values one gets relations between products of these, known as shuffle relations. In the present paper, these relations are extended to cover Dirichlet L-series (thus the name of the paper) and even to non-convergent cases, where one has to use regularisation to state the results.
reviewed by: Anton Deitmar
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 11M06
zbMATH DE Number: 2145465
zbMATH Keywords: shuffle realtions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/1190905444
OpenAlex ID: W1972093096
DOI: 10.2969/JMSJ/1190905444
description: scientific article; zbMATH DE number 2145465