The inversion formula of polylogarithms and the riemann-hilbert problem

Shu Oi, Kimio Ueno*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    1 Citation (Scopus)


    In this article, we set up a method of reconstructing the polylogarithms Lik(z) from zeta values ζ(k) via the Riemann-Hilbert problem. This is referred to as "a recursive Riemann-Hilbert problem of additive type." Moreover, we suggest a framework of interpreting the connection problem of the Knizhnik-Zamolodchikov equation of one variable as a Riemann-Hilbert problem.

    Original languageEnglish
    Title of host publicationSpringer Proceedings in Mathematics and Statistics
    PublisherSpringer New York LLC
    Number of pages6
    ISBN (Print)9781447148623
    Publication statusPublished - 2013

    ASJC Scopus subject areas

    • Mathematics(all)


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