论文标题
关于Arakawa-Kaneko类型的Zeta功能的值
On values of zeta functions of Arakawa-Kaneko type
论文作者
论文摘要
在这二十年中，已经对Arakawa-Kaneko Zeta功能进行了积极研究。最近，Kaneko和Tsumura从Poly-Bernoulli数字的角度构建了其变体。在本文中，我们将它们的Zeta Zeta功能推广到具有索引的Zeta型，其中正整数和负整数混合在一起。我们表明，这些功能在正整数上的值可以用多个Hurwitz Zeta星值表示。
For these two decades, the Arakawa-Kaneko zeta function has been studied actively. Recently Kaneko and Tsumura constructed its variants from the viewpoint of poly-Bernoulli numbers. In this paper, we generalize their zeta functions of Arakawa-Kaneko type to those with indices in which positive and negative integers are mixed. We show that values of these functions at positive integers can be expressed in terms of the multiple Hurwitz zeta star values.
