Any idea how to solve the following Euler sum
$$\sum_{n=1}^\infty \left( \frac{H_n}{n+1}\right)^3 = -\frac{33}{16}\zeta(6)+2\zeta(3)^2$$
I think It can be solved it using contour integration but I am interested in solutions using real methods.
2026-03-25 07:38:57.1774424337
A cubic nonlinear Euler sum
321 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in SEQUENCES-AND-SERIES
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