Multi-poly-bernoulli numbers and finite multiple zeta values

Kohtaro Imatomi, Masanobu Kaneko, Erika Takeda

    Research output: Contribution to journalArticlepeer-review

    21 Citations (Scopus)

    Abstract

    We define the multi-poly-Bernoulli numbers slightly differently from the similar numbers given in earlier papers by Bayad, Hamahata, and Masubuchi, and study their basic properties. Our motivation for the new definition is the connection to “finite multiple zeta values”, which have been studied by Hoffman and Zhao, among others, and are recast in a recent work by Zagier and the second author. We write the finite multiple zeta value in terms of our new multi-poly-Bernoulli numbers.

    Original languageEnglish
    Article number14.4.5
    Pages (from-to)1-12
    Number of pages12
    JournalJournal of Integer Sequences
    Volume17
    Issue number4
    Publication statusPublished - Feb 17 2014

    All Science Journal Classification (ASJC) codes

    • Discrete Mathematics and Combinatorics

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