Euler's identities for the values of \(\zeta(2n)\)

DOI10.1007/s00591-007-0022-2zbMath1168.11005OpenAlexW2093051725MaRDI QIDQ951760

Markus Brede

Publication date: 3 November 2008

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00591-007-0022-2

zbMATH Keywords

Euler identitiesRiemann zeta-function at even arguments

Mathematics Subject Classification ID

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

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Cites Work

• An Elementary Proof of the Formula \Sum ∞ k = 1 1/k 2 = π 2 /6
• The Series Σ^∞_{k = 1}k^-s, s = 2,3,4,⋯, Once More
• Elementary Evaluation of ζ(2k )
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