Quadratic series involving the tail of ζ(k)

DOI10.1080/10652469.2014.956311zbMath1327.40001OpenAlexW1997504479MaRDI QIDQ5498522

Ovidiu Furdui, Alina Sîntămărian

Publication date: 9 February 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.956311

zbMATH Keywords

Riemann zeta functionAbel's summation formulapolygamma functions

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Gamma, beta and polygamma functions (33B15) Abel, Borel and power series methods (40G10)

Related Items (5)

New indefinite integrals of confluent Heun functions ⋮ Cubic and quartic series with the tail of $\ln 2$ ⋮ New indefinite integrals of Heun functions ⋮ 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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