Formula:DLMF:25.6:E1:SE3

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Formula:DLMF:25.6:E1:SE4 >>

${\displaystyle{\displaystyle{\displaystyle\RiemannZeta@{4}=\frac{{\pi^{4}}}{90}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\zeta}}}$ : Riemann zeta function : http://dlmf.nist.gov/25.2#E1
${\displaystyle{\displaystyle{\displaystyle\pi}}}$ : ratio of a circle's circumference to its diameter : http://dlmf.nist.gov/5.19.E4

Bibliography

Equation (1), Section 25.6 of DLMF.

URL links

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