论文标题
广义正则定理和川岛的多个Zeta值的关系
A generalized regularization theorem and Kawashima's relation for multiple zeta values
论文作者
论文摘要
川岛的关系是多个Zeta值中最大的关系类别之一。 Gaku Kawashima介绍并研究了一个牛顿系列，我们称之为川岛功能，并通过建立该功能的多个属性来推断他的关系。我们在不使用牛顿系列的情况下提出了一种新的川岛功能方法。我们首先建立了多个Zeta值对Hurwitz键入多个Zeta值的正规化理论的概括，然后将其与Kawashima函数相关联。通过此连接，我们可以证明川岛功能的关键属性以获得川岛的关系。
Kawashima's relation is conjecturally one of the largest classes of relations among multiple zeta values. Gaku Kawashima introduced and studied a certain Newton series, which we call the Kawashima function, and deduced his relation by establishing several properties of this function. We present a new approach to the Kawashima function without using Newton series. We first establish a generalization of the theory of regularizations of divergent multiple zeta values to Hurwitz type multiple zeta values, and then relate it to the Kawashima function. Via this connection, we can prove a key property of the Kawashima function to obtain Kawashima's relation.
