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Preprints, Working Papers, ... Year : 2024

On some constants related to the harmonic zeta function

Bernard Candelpergher
  • Function : Author

Abstract

We study a range of constants that are closely linked to the harmonic zeta function ζ_H. In addition, by means of a new representation of ζ_H, we derive possibly new integral formulas for ζ(n) and ζ ′(n) and new evaluations for a variety of integrals of the same type as those previously considered by Glasser and Manna.
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Dates and versions

hal-03602568 , version 1 (09-03-2022)
hal-03602568 , version 2 (19-05-2024)
hal-03602568 , version 3 (28-05-2024)

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  • HAL Id : hal-03602568 , version 3

Cite

Marc-Antoine Coppo, Bernard Candelpergher. On some constants related to the harmonic zeta function. 2024. ⟨hal-03602568v3⟩
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