Formula:DLMF:25.6:E19

<< Formula:DLMF:25.6:E18

formula in Integer Arguments

Formula:DLMF:25.6:E20 >>

${\displaystyle{\displaystyle{\displaystyle\left(m+n+\tfrac{3}{2}\right)\RiemannZeta@{2m+2n+2}=\left(\sum_{k=1}^{m}+\sum_{k=1}^{n}\right)\RiemannZeta@{2k}\RiemannZeta@{2m+2n+2-2k}}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle m\geq 0}}}$ &
${\displaystyle{\displaystyle{\displaystyle n\geq 0}}}$ &
${\displaystyle{\displaystyle{\displaystyle m+n\geq 1}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

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

Bibliography

Equation (19), Section 25.6 of DLMF.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:DLMF:25.6:E18

formula in Integer Arguments

Formula:DLMF:25.6:E20 >>