# Formula:DLMF:25.6:E1:SE3

${\displaystyle{\displaystyle{\displaystyle\zeta\left(4\right)=\frac{\cpi^{4}}{% 90}}}}$

## Proof

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## Symbols List

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