A new class of identities involving Cauchy numbers, harmonic numbers and zeta values
Résumé
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.
Origine : Fichiers produits par l'(les) auteur(s)