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On analogues of Arakawa-Kaneko zeta functions of Mordell-Tornheim type

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arxiv 1603.04145 v1 pith:WNTAMSUF submitted 2016-03-14 math.NT

classification math.NT
keywords functionszetamordell-tornheimanaloguesarakawa-kanekomultipleapplicationscertain
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In this paper, we construct certain analogues of the Arakawa-Kaneko zeta functions. We prove functional relations between these functions and the Mordell-Tornheim multiple zeta functions. Furthermore we give some formulas among Mordell-Tornheim multiple zeta values as their applications.

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  1. Evaluations of multiple polylogarithm functions, multiple zeta values and related zeta values

    math.NT 2019-08 conditional novelty 7.0 of 10

    The author proves several 1997 Borwein-Bradley-Broadhurst conjectures and general reduction formulas for alternating multiple zeta values using iterated integrals.

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