论文标题
加权二重性的交替$ t $值的加权总和公式
Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values
论文作者
论文摘要
最近，Kaneko和Tsumura引入和研究了一种新型的多种Zeta值级别2 $ t（{\ bf k}）$（称为多个$ t $值）。在本文中，我们定义了多个$ t $值的交替版本，并通过使用迭代的积分表示和系列表示方法来研究多个加权总和公式的二重性公式。也可以获得一些交替的$ t $价值的特殊值。
Recently, a new kind of multiple zeta value level two $T({\bf k})$ (which is called multiple $T$-values) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple $T$-values, and study several duality formulas of weighted sum formulas about alternating multiple $T$-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple $T$-values can also be obtained.
