Multi-poly-bernoulli numbers and finite multiple zeta values

Kohtaro Imatomi, Masanobu Kaneko, Erika Takeda

研究成果: ジャーナルへの寄稿記事

10 引用 (Scopus)

抄録

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.

元の言語英語
記事番号14.4.5
ページ(範囲)1-12
ページ数12
ジャーナルJournal of Integer Sequences
17
発行部数4
出版物ステータス出版済み - 2 17 2014

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Multiple zeta Values
Bernoulli numbers

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

これを引用

Multi-poly-bernoulli numbers and finite multiple zeta values. / Imatomi, Kohtaro; Kaneko, Masanobu; Takeda, Erika.

:: Journal of Integer Sequences, 巻 17, 番号 4, 14.4.5, 17.02.2014, p. 1-12.

研究成果: ジャーナルへの寄稿記事

Imatomi, K, Kaneko, M & Takeda, E 2014, 'Multi-poly-bernoulli numbers and finite multiple zeta values', Journal of Integer Sequences, 巻. 17, 番号 4, 14.4.5, pp. 1-12.
Imatomi, Kohtaro ; Kaneko, Masanobu ; Takeda, Erika. / Multi-poly-bernoulli numbers and finite multiple zeta values. :: Journal of Integer Sequences. 2014 ; 巻 17, 番号 4. pp. 1-12.
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