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Euler sums of generalized harmonic numbers and connected extensions
Mümün Can, Levent Kargın, Ayhan Dil, Gültekin Soylu
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Source: Crossref
Published: Jan 1, 2023
DOI: 10.2298/aadm210122014c
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This paper presents the evaluation of the Euler sums of generalized hyperharmonic numbers H(p,q)n ?H(p,q)(r) = ?Xn=1 H(p,q)n/nr in terms of the famous Euler sums of generalized harmonic numbers. Moreover, several infinite series, whose terms consist of certain harmonic numbers and reciprocal binomial coefficients, are evaluated in terms of the Riemann zeta values.
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