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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Contributor : Marc-Antoine Coppo <>
Submitted on : Monday, December 19, 2011 - 6:09:14 PM
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Bernard Candelpergher, Marc-Antoine Coppo. A new class of identities involving Cauchy numbers, harmonic numbers and zeta values. Ramanujan Journal (The), 2012, 27, pp.305-328. ⟨hal-00495767v9⟩

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