Relations for multiple zeta values and Mellin transforms of multiple polylogarithms

Jun Ichi Okuda*, Kimio Ueno

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    21 Citations (Scopus)


    In this paper a relationship between the Ohno relation for multiple zeta values and multiple polylogarithms are discussed. First we introduce generating functions for the Ohno relation, and investigate their properties. We show that there exists a subfamily of the Ohno relation which recovers algebraically its totality. This is proved through analysis of Mellin transform of multiple polylogarithms. Furthermore, this subfamily is shown to be converted to the Landen connection formula for multiple polylogarithms by inverse Mellin transform.

    Original languageEnglish
    Pages (from-to)537-564
    Number of pages28
    JournalPublications of the Research Institute for Mathematical Sciences
    Issue number2
    Publication statusPublished - 2004 Jul

    ASJC Scopus subject areas

    • Mathematics(all)


    Dive into the research topics of 'Relations for multiple zeta values and Mellin transforms of multiple polylogarithms'. Together they form a unique fingerprint.

    Cite this