Formula:8335

Digital Library of Mathematical Functions ID 25.6.E5

${\displaystyle{\displaystyle\zeta\left(k+1\right)=\frac{1}{k!}\sum_{n_{1}=1}^{\infty}\dots\sum_{n_{k}=1}^{\infty}\frac{1}{n_{1}\cdots n_{k}(n_{1}+\dots+n_{k})},}}$

Constraint(s)

${\displaystyle{\displaystyle k=1,2,3,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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