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 |
| 巻 | 17 |
| 発行部数 | 4 |
| 出版物ステータス | 出版済み - 2 17 2014 |
Fingerprint
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
}
TY - JOUR
T1 - Multi-poly-bernoulli numbers and finite multiple zeta values
AU - Imatomi, Kohtaro
AU - Kaneko, Masanobu
AU - Takeda, Erika
PY - 2014/2/17
Y1 - 2014/2/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84937231360&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84937231360&partnerID=8YFLogxK
M3 - Article
VL - 17
SP - 1
EP - 12
JO - Journal of Integer Sequences
JF - Journal of Integer Sequences
SN - 1530-7638
IS - 4
M1 - 14.4.5
ER -