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arXiv · 1803.11441

On an analog of the Arakawa-Kaneko zeta function and relations of some multiple zeta values

Ryota Umezawa
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Abstract

T. Ito defined an analog of the Arakawa-Kaneko zeta function to obtain relations among Mordell-Tornheim multiple zeta values. In this paper, we develop two things related to an analog of the Arakawa-Kaneko zeta function. One is to find an analog of the Arakawa-Kaneko zeta function of Miyagawa-type (defined by T. Miyagawa) and to obtain a relation among Miyagawa-type MZVs. The other is to find a class of zeta functions to which Ito's zeta functions of the case of general index are related.

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Ryota Umezawa. 2018-03-30. On an analog of the Arakawa-Kaneko zeta function and relations of some multiple zeta values. https://arxiv.org/abs/1803.11441

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