# 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, October 20, 2011 - 7:17:03 PM
Last modification on : Thursday, December 10, 2020 - 12:16:10 PM
Long-term archiving on: : Sunday, December 4, 2016 - 12:49:06 PM

### File

ArtZetamod.pdf
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### Identifiers

• HAL Id : hal-00495767, version 8

### Citation

Bernard Candelpergher, Marc-Antoine Coppo. A new class of identities involving Cauchy numbers, harmonic numbers and zeta values. 2011. ⟨hal-00495767v8⟩

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