A Proof of (2)=2/6 Involving a Fourier-Legendre Expansion
AMERICAN MATHEMATICAL MONTHLY(2024)
摘要
We give a new proof of Euler's famous formula zeta (2)=pi 2/6 using a 1954 result by M. O. Gonzalez which expands the complete elliptic integral of the first kind in terms of Legendre polynomials.
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