2019年12月
A Cyclic Analogue of Multiple Zeta Values
Commentarii mathematici Universitatis Sancti Pauli
- ,
- ,
- 巻
- 67
- 号
- 2
- 開始ページ
- 147
- 終了ページ
- 166
- DOI
- 10.14992/00018670
We consider a cyclic analogue of multiple zeta values (CMZVs), which has two
kinds of expressions; series and integral expression. We prove an
`integral$=$series' type identity for CMZVs. By using this identity, we
construct two classes of $\mathbb{Q}$-linear relations among CMZVs. One of them
is a generalization of the cyclic sum formula for multiple zeta-star values. We
also give an alternative proof of the derivation relation for multiple zeta
values.
kinds of expressions; series and integral expression. We prove an
`integral$=$series' type identity for CMZVs. By using this identity, we
construct two classes of $\mathbb{Q}$-linear relations among CMZVs. One of them
is a generalization of the cyclic sum formula for multiple zeta-star values. We
also give an alternative proof of the derivation relation for multiple zeta
values.
- リンク情報
-
- DOI
- https://doi.org/10.14992/00018670 本文へのリンクあり
- arXiv
- http://arxiv.org/abs/arXiv:1806.10888
- URL
- http://arxiv.org/pdf/1806.10888v2 本文へのリンクあり
- ID情報
-
- DOI : 10.14992/00018670
- arXiv ID : arXiv:1806.10888