Preprints, Working Papers, ... Year : 2014

Inverse binomial series and values of Arakawa-Kaneko zeta functions

Abstract

In this article, we consider a variety of evaluations of series of polygarithmic nature. In particular, we express the special values at positive integers of certain zeta functions of Arakawa-Kaneko type in terms of series involving inverse binomial sums studied by Kalmykov and Davydychev in relation with the Feynman diagrams.
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Dates and versions

hal-00995770 , version 1 (26-05-2014)
hal-00995770 , version 2 (01-09-2014)
hal-00995770 , version 3 (10-09-2014)
hal-00995770 , version 4 (22-09-2014)
hal-00995770 , version 5 (12-12-2014)

Identifiers

  • HAL Id : hal-00995770 , version 2

Cite

Marc-Antoine Coppo, Bernard Candelpergher. Inverse binomial series and values of Arakawa-Kaneko zeta functions. 2014. ⟨hal-00995770v2⟩
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