Kuba, M., & Panholzer, A. (2019). A note on harmonic number identities, Stirling series and multiple zeta values. International Journal of Number Theory, 15(07), 1323–1348. https://doi.org/10.1142/s179304211950074x
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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Journal:
International Journal of Number Theory
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ISSN:
1793-0421
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Date (published):
13-Feb-2019
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Number of Pages:
26
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Peer reviewed:
Yes
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Keywords:
Algebra and Number Theory
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Abstract:
We study a general type of series and relate special cases of it to Stirling series, infinite series discussed by Choi and Hoffman, and also to special values of the Arakawa–Kaneko zeta function, studied before amongst others by Candelpergher and Coppo, and also by Young. We complement and generalize earlier results. Moreover, we survey properties of certain truncated multiple zeta and zeta star values, pointing out their relation to finite sums of harmonic numbers. We also discuss the duality result of Hoffman, relating binomial sums and truncated multiple zeta star values.
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Research Areas:
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 100%
