Euler sums of generalized hyperharmonic numbers

DOI10.7169/FACM/1953OpenAlexW3138107663MaRDI QIDQ2154786

Rusen Li

Publication date: 15 July 2022

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10622

zbMATH Keywords

Euler sumsBernoulli numbersFaulhaber's formulageneralized hyperharmonic numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Recurrences (11B37) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (4)

Summation formulas of hyperharmonic numbers with their generalizations ⋮ 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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• Euler sums of hyperharmonic numbers
• Hyperharmonic series involving Hurwitz zeta function
• Euler Sums and Contour Integral Representations
• On the matrices with the generalized hyperharmonic numbers of order r
• Evaluation of Euler-like sums via Hurwitz zeta values

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