A new integral–series identity of multiple zeta values and regularizations

Masanobu Kaneko, Shuji Yamamoto

    Research output: Contribution to journalArticlepeer-review

    21 Citations (Scopus)


    We present a new “integral = series” type identity of multiple zeta values, and show that this is equivalent in a suitable sense to the fundamental theorem of regularization. We conjecture that this identity is enough to describe all linear relations of multiple zeta values over Q. We also establish the regularization theorem for multiple zeta-star values, which too is equivalent to our new identity. A connection to Kawashima’s relation is discussed as well.

    Original languageEnglish
    Pages (from-to)2499-2521
    Number of pages23
    JournalSelecta Mathematica, New Series
    Issue number3
    Publication statusPublished - Jul 1 2018

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)
    • Physics and Astronomy(all)


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