On shifted Mascheroni series and hyperharmonic numbers

DOI10.1016/j.jnt.2016.04.028zbMath1409.11014OpenAlexW2279278567WikidataQ114157419 ScholiaQ114157419MaRDI QIDQ739268

Marc-Antoine Coppo, Paul Thomas Young

Publication date: 18 August 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.04.028

zbMATH Keywords

Riemann zeta functionEuler-Mascheroni constantRamanujan summationhyperharmonic numbersMascheroni seriesWolstenholme primes

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items (5)

A note on some constants related to the zeta-function and their relationship with the Gregory coefficients ⋮ A note on some alternating series involving zeta and multiple zeta values ⋮ Generalized Glaisher-Kinkelin constants and Ramanujan summation of series ⋮ Hadamard product of series with special numbers ⋮ Unnamed Item

Cites Work

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• Combinatorial identities in dual sequences
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• The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent
• On quotients of Riemann zeta values at odd and even integer arguments

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