Harmonic infinite sum
Posted: Sat May 06, 2017 7:56 pm
Let $\mathcal{H}_n$ denote the $n$-th harmonic sum. Evaluate the sum:
\[\mathcal{S} = \sum_{n=1}^{\infty} \left ( \mathcal{H}_n - \log n - \gamma - \frac{1}{2n} + \frac{1}{12n^2} \right )\]
(M.Omarjee)
\[\mathcal{S} = \sum_{n=1}^{\infty} \left ( \mathcal{H}_n - \log n - \gamma - \frac{1}{2n} + \frac{1}{12n^2} \right )\]
(M.Omarjee)