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On Values of Zeta Functions of Arakawa-Kaneko Type

Tomoko Hoshi 立教大学

2021.12.01

概要

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 nonpositive 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.

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参考文献

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