On generalized Stirling numbers and zeta values

On generalized Stirling numbers and zeta values

The generalized Stirling numbers of the second kind together with the Stirling numbers of the first kind are used to present a novel method to approximate the Riemann zeta function at integer values by rationals. We show that the error committed in such approximation decay exponentially to zero

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Veröffentlicht in:arXiv.org 2024-07
Hauptverfasser: Kamel Mezlini, Moumni, Tahar, Najib Ouled Azaiez
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial analysis
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Zusammenfassung:The generalized Stirling numbers of the second kind together with the Stirling numbers of the first kind are used to present a novel method to approximate the Riemann zeta function at integer values by rationals. We show that the error committed in such approximation decay exponentially to zero
ISSN:2331-8422