I have seen this formula, but how to prove this? $$2\sum\limits_{k=1}^\infty \frac{H_k}{\left( k+1 \right)^m} =m\zeta \left( m+1 \right)-\sum\limits_{k=1}^{m-2}{\zeta \left( m-k \right)\zeta \left( k+1 \right)}$$
2026-04-11 08:18:14.1775895494
Proof of Euler's general formula for a sum involving harmonic numbers
266 Views Asked by user12716 https://math.techqa.club/user/user12716/detail AtRelated Questions in CALCULUS
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