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

2018/03/30 by Umezawa, Ryota
#FOS: Mathematics #Number Theory (math.NT) #Primary: 11M32 #Secondary: 40B05

paper · doi:10.48550/arxiv.1803.11441

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.

Related

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• On generalization of duality formulas for the Arakawa-Kaneko type zeta functions
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