Beyond the Basel Problem, Part I

DOI10.1080/0025570x.2023.2176099MaRDI QIDQ6044727

Kenneth S. Williams

Publication date: 22 May 2023

Published in: Mathematics Magazine (Search for Journal in Brave)

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Zeta and (L)-functions: analytic theory (11M99)

Related Items (1)

Beyond the Basel Problem: Part II

Cites Work

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• A class of subsums of Euler's sum
• The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials
• A New Proof of a Classical Formula
• A Short Proof of ζ(2) = π²/6
• A Primer on Bernoulli Numbers and Polynomials
• Elementary Evaluation of ζ(2n)
• Another Simple Proof of 1 + 1 2 2 + 1 3 2 + ⋅⋅⋅ = π 2 6
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• New Formulae for the Bernoulli and Euler Polynomials at Rational Arguments
• On ∑^∞_{n = 1} (1/n^2k)

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