An Elementary Proof of ∑ ∞ n = 1 1/n 2 = π 2 /6

DOI10.2307/2322220zbMath0624.40001OpenAlexW2332603339MaRDI QIDQ3762763

Boo Rim Choe

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2307/2322220

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05)

Related Items (9)

Some series representations of \(\zeta(2n+1)\) ⋮ A Wilf–Zeilberger–Based Solution to the Basel Problem With Applications ⋮ Values of the Riemann zeta function and the Dirichlet beta function at positive integer points and multiple numerical series ⋮ Special values of the Riemann zeta function via arcsine random variables ⋮ An Eulerian method for representing \(\pi{}^ 2\) by series ⋮ Some hypergeometric and other evaluations of \(\zeta (2)\) and allied series ⋮ Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments ⋮ Computational strategies for the Riemann zeta function ⋮ Green’s Functions and Euler’s Formula for $$\zeta (2n)$$

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