Formula:DLMF:25.6:E16

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formula in Integer Arguments

Formula:DLMF:25.6:E17 >>

${\displaystyle{\displaystyle{\displaystyle\left(n+\tfrac{1}{2}\right)\RiemannZeta@{2n}=\sum_{k=1}^{n-1}\RiemannZeta@{2k}\RiemannZeta@{2n-2k}}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle n\geq 2}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\zeta}}}$ : Riemann zeta function : http://dlmf.nist.gov/25.2#E1
${\displaystyle{\displaystyle{\displaystyle\Sigma}}}$ : sum : http://drmf.wmflabs.org/wiki/Definition:sum

Bibliography

Equation (16), Section 25.6 of DLMF.

URL links

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