Waste less time on Facebook — follow Brilliant.

Closed form of \(\displaystyle \sum_{k=1}^{\infty} \sum_{n=1}^{\infty} \frac{H_n}{kn (k+n)^3}\)

Prove that: \[\sum_{k=1}^{\infty} \sum_{n=1}^{\infty} \frac{H_n}{kn (k+n)^3}=\frac{215}{48}\zeta(6) - 3\zeta^2(3)\]


This is a part of the set Formidable Series and Integrals.

Note by Aditya Kumar
1 year, 3 months ago

No vote yet
1 vote


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...