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A new class of identities involving Cauchy numbers, harmonic numbers and zeta values

Abstract : Improving an old idea of Hermite, we associate to each natural number $k$ a modified zeta function of order $k$. The evaluation of the values of these functions $F_k$ at positive integers reveals a wide class of identities linking Cauchy numbers, harmonic numbers and zeta values.
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Preprints, Working Papers, ...
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https://hal.univ-cotedazur.fr/hal-00495767
Contributor : Marc-Antoine Coppo <>
Submitted on : Thursday, November 4, 2010 - 5:16:51 PM
Last modification on : Thursday, December 10, 2020 - 12:16:10 PM
Long-term archiving on: : Thursday, March 30, 2017 - 2:39:28 AM

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  • HAL Id : hal-00495767, version 6

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Bernard Candelpergher, Marc-Antoine Coppo. A new class of identities involving Cauchy numbers, harmonic numbers and zeta values. 2010. ⟨hal-00495767v6⟩

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