Another Proof of the Famous Formula for the Zeta Function at Positive Even Integers

DOI10.1080/00029890.2018.1507206zbMath1414.40003OpenAlexW2900027927WikidataQ128912999 ScholiaQ128912999MaRDI QIDQ4554685

Pedro Ribeiro

Publication date: 9 November 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2018.1507206

zbMATH Keywords

Bernoulli numberszeta function values

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Approximation to limiting values (summation of series, etc.) (40A25)

Related Items (1)

Zeta identities in parameter form

Cites Work

• Another proof of Euler’s formula for $\zeta(2k)$
• Euler and Infinite Series
• Euler and the Zeta Function
• Finding ζ(2p) from a Product of Sines
• An Elementary Proof of Euler's Formula for z(2m)
• Another Elementary Proof of Euler's Formula for ζ(2n)
• A recurrence formula for 𝜁(2𝑛)

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