The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation

Okuda Jun-ichi, Kimio Ueno

    Research output: Chapter in Book/Report/Conference proceedingChapter

    7 Citations (Scopus)

    Abstract

    The sum formula for multiple zeta values are derived, via the Mellin transform, from the Euler connection formula and the Landen connection formula for poly logarithms. These connection formulas for multiple polylogarithms will be considered in the framework of the theory of the formal Knizhnik-Zamolodchikov equation.

    Original languageEnglish
    Title of host publicationDevelopments in Mathematics
    Pages145-170
    Number of pages26
    Volume14
    Publication statusPublished - 2005

    Publication series

    NameDevelopments in Mathematics
    Volume14
    ISSN (Print)13892177

    Fingerprint

    Connection Problem
    Multiple zeta Values
    Sum formula
    Polylogarithms
    Mellin Transform
    Logarithm
    Euler

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Jun-ichi, O., & Ueno, K. (2005). The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation. In Developments in Mathematics (Vol. 14, pp. 145-170). (Developments in Mathematics; Vol. 14).

    The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation. / Jun-ichi, Okuda; Ueno, Kimio.

    Developments in Mathematics. Vol. 14 2005. p. 145-170 (Developments in Mathematics; Vol. 14).

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Jun-ichi, O & Ueno, K 2005, The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation. in Developments in Mathematics. vol. 14, Developments in Mathematics, vol. 14, pp. 145-170.
    Jun-ichi O, Ueno K. The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation. In Developments in Mathematics. Vol. 14. 2005. p. 145-170. (Developments in Mathematics).
    Jun-ichi, Okuda ; Ueno, Kimio. / The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation. Developments in Mathematics. Vol. 14 2005. pp. 145-170 (Developments in Mathematics).
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