论文标题
多个Zeta功能的环关系
Cyclic relation for multiple zeta functions
论文作者
论文摘要
Hirose,Murakami和姓名作者在一项研究中获得的环关系是一类广泛的关系,其中包括用于多个Zeta和Zeta-Star值的众所周知的环状总和公式,以及多个Zeta值的派生关系。在本文中,我们介绍了其对复杂变量的概括。我们的证明包括循环关系的新证明。
The cyclic relation obtained in a study by Hirose, Murakami, and the first-named author, is a wide class of relations, which includes the well-known cyclic sum formula for multiple zeta and zeta-star values, and the derivation relation for multiple zeta values. In this paper, we present its generalization to complex variables. Our proof includes a new proof of the cyclic relation.