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Pré-Publication, Document De Travail Année : 2021

New identities involving Cauchy numbers, harmonic numbers and zeta values

Résumé

In this article, we present a class of identities linking together Cauchy numbers, the special values of the Riemann zeta function and its derivative, and a generalization of the Roman harmonic numbers, which represents a significant refinement and improvement of our earlier work on the subject.
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Dates et versions

hal-03131735 , version 1 (04-02-2021)
hal-03131735 , version 2 (10-02-2021)
hal-03131735 , version 3 (15-02-2021)
hal-03131735 , version 4 (10-03-2021)
hal-03131735 , version 5 (16-03-2021)
hal-03131735 , version 6 (24-03-2021)
hal-03131735 , version 7 (09-04-2021)
hal-03131735 , version 8 (06-06-2021)
hal-03131735 , version 9 (11-06-2021)
hal-03131735 , version 10 (03-09-2021)

Identifiants

  • HAL Id : hal-03131735 , version 9

Citer

Marc-Antoine Coppo. New identities involving Cauchy numbers, harmonic numbers and zeta values. 2021. ⟨hal-03131735v9⟩
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