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New identities involving Cauchy numbers, harmonic numbers and zeta values

Abstract : 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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Preprints, Working Papers, ...
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https://hal.univ-cotedazur.fr/hal-03131735
Contributor : Marc-Antoine Coppo <>
Submitted on : Wednesday, March 24, 2021 - 7:02:22 PM
Last modification on : Friday, April 16, 2021 - 3:19:18 AM

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  • HAL Id : hal-03131735, version 6

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Marc-Antoine Coppo. New identities involving Cauchy numbers, harmonic numbers and zeta values. 2021. ⟨hal-03131735v6⟩

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