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Laurent expansion of harmonic zeta functions

Bernard Candelpergher 1 Marc-Antoine Coppo 1
1 JAD - Laboratoire Jean Alexandre Dieudonné
Abstract : In this study, we determine certain constants which naturally occur in the Laurent expansion of harmonic zeta functions.
Keywords : Zeta values Harmonic numbers Harmonic zeta functions Laurent expansion Ramanujan summation of divergent series
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https://hal.univ-cotedazur.fr/hal-02444740
Contributor : Marc-Antoine Coppo <>
Submitted on : Wednesday, March 10, 2021 - 10:05:00 AM
Last modification on : Friday, March 12, 2021 - 3:20:21 AM

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  • HAL Id : hal-02444740, version 4

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Bernard Candelpergher, Marc-Antoine Coppo. Laurent expansion of harmonic zeta functions. Journal of Mathematical Analysis and Applications, Elsevier, 2020. ⟨hal-02444740v4⟩

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