Iterated integrals and relations of multiple polylogarithms

2010/02/02 by Shu Oi, Oi, Shu, Kimio Ueno +1
Mathematics · #11M06 #33E20 #40B05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT) #Quantum Algebra (math.QA) #math.CA #math.NT #math.QA #msc:11M06 #msc:33E20 #msc:40B05

paper · pdf · doi:10.48550/arxiv.1002.0415

16 pages, 2 figures

arxiv created 2010/02/02 · arxiv updated 2010/02/26

Abstract

This is a summary for the authors' article "The formal KZ equation on the moduli space \mathcal M_0,5 and the harmonic product of multiple zeta values" (prerint (2009) arXiv:0910.0718), including a new result on the five term relation for the dilogarithm. This note will appear in the RIMS Kôkyûroku for the conference on "Representation Theory and Combinatorics" held at Hokkaido University from August 25th to 28th, 2009.

Related

• Iterated Integrals and Multiple Polylogarithm at Algebraic Arguments
• A discretization of the iterated integral expression of the multiple polylogarithm
• Explicit Relations of Some Variants of Convoluted Multiple Zeta Values
• Evaluations of multiple polylogarithm functions, multiple zeta values\n and related zeta values
• Explicit Relations between Multiple Zeta Values and Related Variants