Euler sums of generalized alternating hyperharmonic numbers

DOI10.1007/s11139-023-00761-xzbMath1497.11054arXiv2108.00826MaRDI QIDQ1983262

Rusen Li

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics, The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.00826

zbMATH Keywords

combinatorial approachalternating Euler sumsBernoulli-Faulhaber formulageneralized alternating hyperharmonic numberstruncated Faulhaber's formula

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (6)

Integrals of polylogarithms and infinite series involving generalized harmonic numbers ⋮ Euler sums of multiple hyperharmonic numbers ⋮ Unnamed Item ⋮ Euler sums of generalized alternating hyperharmonic numbers ⋮ Generalized alternating hyperharmonic number sums with reciprocal binomial coefficients ⋮ Generalized hyperharmonic number sums with reciprocal binomial coefficients

Cites Work

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• Generalized alternating hyperharmonic number sums with reciprocal binomial coefficients
• Generalized hyperharmonic number sums with reciprocal binomial coefficients
• Euler sums of generalized hyperharmonic numbers
• Euler Sums and Contour Integral Representations
• Experimental Evaluation of Euler Sums
• On the matrices with the generalized hyperharmonic numbers of order r
• Evaluation of Euler-like sums via Hurwitz zeta values
• Bernoulli Numbers and Zeta Functions

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