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Journal Articles Results in mathematics = Resultate der Mathematik Year : 2021

New identities involving Cauchy numbers, harmonic numbers and zeta values

Abstract

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 and 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)

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Cite

Marc-Antoine Coppo. New identities involving Cauchy numbers, harmonic numbers and zeta values. Results in mathematics = Resultate der Mathematik, 2021, 76, pp.10. ⟨10.1007/s00025-021-01497-0⟩. ⟨hal-03131735v10⟩
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