Relations for multiple zeta values and Mellin transforms of multiple polylogarithms

Jun Ichi Okuda, Kimio Ueno

    研究成果: Article査読

    19 被引用数 (Scopus)

    抄録

    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.

    本文言語English
    ページ(範囲)537-564
    ページ数28
    ジャーナルPublications of the Research Institute for Mathematical Sciences
    40
    2
    出版ステータスPublished - 2004 7

    ASJC Scopus subject areas

    • Mathematics(all)

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