On families of linear recurrence relations for the special values of the Riemann zeta function

DOI10.1016/j.jnt.2016.06.015zbMath1408.11013OpenAlexW2505251355MaRDI QIDQ311454

Mircea Merca

Publication date: 13 September 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.06.015

zbMATH Keywords

Riemann zeta functionBernoulli numbersrecurrence relationsBernoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Recurrences (11B37)

Related Items (3)

Unnamed Item ⋮ Euler-Riemann zeta function and Chebyshev-Stirling numbers of the first kind ⋮ On Dirichlet's lambda function

Cites Work

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• Fleck's congruence, associated magic squares and a zeta identity
• The continuing story of zeta
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• Asymptotics of the Chebyshev–Stirling numbers of the first kind
• An Alternative to Faulhaber's Formula
• Euler and the Zeta Function
• Elementary Evaluation of ζ(2n)
• Finding ζ(2p) from a Product of Sines
• An Elementary Proof of Euler's Formula for z(2m)
• A trio of Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function
• On ∑^∞_{n = 1} (1/n^2k)
• Another Elementary Proof of Euler's Formula for ζ(2n)
• A New Method of Evaluating ζ(2n)
• A simple derivation of \(\zeta(1-K)=-B_K/K\).

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