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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Hauptverfasser: Mezlini, Kamel, Moumni, Tahar, Azaiez, Najib Ouled
Format: Artikel
Sprache:eng
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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
DOI:10.48550/arxiv.2407.07920