抄録
We study the function ζ(k1, . . . , kn - 1 ; s) = Σ0<m1<m2⋯<mn 1/mk11⋯mkn - 1 n - 1 msn and show that the poly-Bernoulli numbers introduced in our previous paper are expressed as special values at negative arguments of certain combinations of these functions. As a consequence of our study, we obtain a series of relations among multiple zeta values.
| 元の言語 | 英語 |
|---|---|
| ページ（範囲） | 189-209 |
| ページ数 | 21 |
| ジャーナル | Nagoya Mathematical Journal |
| 巻 | 153 |
| 出版物ステータス | 出版済み - 3 1999 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
これを引用
Multiple zeta values, poly-Bernoulli numbers, and related zeta functions. / Arakawa, Tsuneo; Kaneko, Masanobu.
：: Nagoya Mathematical Journal, 巻 153, 03.1999, p. 189-209.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
AU - Arakawa, Tsuneo
AU - Kaneko, Masanobu
PY - 1999/3
Y1 - 1999/3
N2 - We study the function ζ(k1, . . . , kn - 1 ; s) = Σ0 1/mk11⋯mkn - 1 n - 1 msn and show that the poly-Bernoulli numbers introduced in our previous paper are expressed as special values at negative arguments of certain combinations of these functions. As a consequence of our study, we obtain a series of relations among multiple zeta values.
AB - We study the function ζ(k1, . . . , kn - 1 ; s) = Σ0 1/mk11⋯mkn - 1 n - 1 msn and show that the poly-Bernoulli numbers introduced in our previous paper are expressed as special values at negative arguments of certain combinations of these functions. As a consequence of our study, we obtain a series of relations among multiple zeta values.
UR - http://www.scopus.com/inward/record.url?scp=0001153313&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001153313&partnerID=8YFLogxK
M3 - Article
VL - 153
SP - 189
EP - 209
JO - Nagoya Mathematical Journal
JF - Nagoya Mathematical Journal
SN - 0027-7630
ER -