Formula:DLMF:25.16:E14

<< Formula:DLMF:25.16:E13

formula in Mathematical Applications

Formula:DLMF:25.16:E15 >>

${\displaystyle{\displaystyle{\displaystyle\sum_{r=1}^{\infty}\sum_{k=1}^{r}\frac{1}{rk(r+k)}=\frac{5}{4}\RiemannZeta@{3}}}}$

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

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

Bibliography

Equation (14), Section 25.16 of DLMF.

URL links

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

<< Formula:DLMF:25.16:E13

formula in Mathematical Applications

Formula:DLMF:25.16:E15 >>