Some infinite series involving the Riemann zeta function

zbMath1434.11171arXiv1005.2730MaRDI QIDQ2960846

Donal F. Connon

Publication date: 17 February 2017

Full work available at URL: https://arxiv.org/abs/1005.2730

zbMATH Keywords

Riemann zeta functioninfinite seriesHurwitz-Lerch zeta functionClausen functions.

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Convergence and divergence of series and sequences (40A05) Hurwitz and Lerch zeta functions (11M35)

Related Items (7)

Monotonicity and convexity properties of the Nielsen ⋮ Finite Hurwitz-Lerch functions ⋮ The Euler-Riemann zeta function in some series formulae and its values at odd integer points ⋮ Lerch-harmonic numbers related to Lerch transcendent ⋮ Unnamed Item ⋮ Evaluation of series with binomial sums ⋮ On Some Properties and Inequalities for the Nielsen's $\beta$-Function

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