Duality/sum formulas for iterated integrals and their application to multiple zeta values

We investigate linear relations among a class of iterated integrals on the Riemann sphere minus four points 0,1,z and ∞. Generalization of the duality formula and the sum formula for multiple zeta values to the iterated integrals are given.

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Bibliographic Details
Published inJournal of number theory Vol. 195; pp. 72 - 83
Main Authors Hirose, Minoru, Iwaki, Kohei, Sato, Nobuo, Tasaka, Koji
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.02.2019
Subjects
Iterated integrals
Multiple zeta values
secondary
Multiple zeta values
Iterated integrals
primary
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Summary:We investigate linear relations among a class of iterated integrals on the Riemann sphere minus four points 0,1,z and ∞. Generalization of the duality formula and the sum formula for multiple zeta values to the iterated integrals are given.
ISSN:0022-314X
1096-1658
DOI:10.1016/j.jnt.2018.05.019