A cyclic analogue of multiple zeta values

Autor: Hirose, Minoru, Murahara, Hideki, Murakami, Takuya
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv