Evaluation of series involving the product of the tail of \(\zeta(k)\) and \(\zeta(k+1)\)

DOI10.1007/s00009-014-0508-9zbMath1351.11051OpenAlexW2462625011MaRDI QIDQ276989

Ovidiu Furdui, Cornel Ioan Vălean

Publication date: 4 May 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0508-9

zbMATH Keywords

Riemann zeta functionAbel's summation formulapolylogarithm function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Numerical summation of series (65B10) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (3)

Unnamed Item ⋮ Explicit evaluations of sums of sequence tails ⋮ Sums of products of Riemann zeta tails

Cites Work

• Explicit evaluation of Euler and related sums
• Limits, series, and fractional part integrals. Problems in mathematical analysis
• Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
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