Explicit evaluations of sums of sequence tails

DOI10.1007/S10476-017-0510-0zbMath1399.11155arXiv1701.03725OpenAlexW2964023196MaRDI QIDQ681610

Juan-Miguel Gracia

Publication date: 12 February 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03725

zbMATH Keywords

Riemann zeta functionAbel's summation formulaharmonic numbermultiple zeta star valuessequence tails

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

• Unnamed Item
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• Euler Sums and Contour Integral Representations
• Experimental Evaluation of Euler Sums
• Special values of multiple polylogarithms
• Explicit evaluation of Euler sums
• Quadratic series involving the tail of ζ(k)

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