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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 several series identities linking together Cauchy numbers (also known as Bernoulli numbers of the second kind), special values of the Riemann zeta function and its derivative, and a generalization of the Roman harmonic numbers.
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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 5

Citer

Marc-Antoine Coppo. New identities involving Cauchy numbers, harmonic numbers and zeta values. 2021. ⟨hal-03131735v5⟩
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