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I found this on wolfram alpha :

enter image description here How does wolfram evaluate this series? How to proof that $$\sum_{n=1}^\infty \left(\frac{1}{n}+\frac{1}{2n}+...+\frac{1}{n^2}\right)^2= \frac{17\pi^4}{360} $$ ? Thanks in advance.

kong
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