$\sum \frac{\zeta(n) -1}{n} = 1- \gamma$
58286
Why does the $\sum_{n>1}(\zeta(n)-1)=1?$
6436
Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$
55339
Find the sum $\sum_{n=1}^{\infty}\frac{ 1}{n^{2}(2n-1)}$
18814
Sum of the series $1+\frac{1\cdot 3}{6}+\frac{1\cdot3\cdot5}{6\cdot8}+\cdots$
53038
Show that $\frac{P(z)}{Q(z)} = \sum_{k=1}^{n}\frac{P(\alpha_k)}{Q'(\alpha_k)(z-\alpha_k)}$
5433
Finite Sum $\sum\limits_{k=1}^{m-1}\frac{1}{\sin^2\frac{k\pi}{m}}$
20317
Proving $\sum_{k=1}^{n}{(-1)^{k+1} {{n}\choose{k}}\frac{1}{k}=H_n}$
117982
Why is $\zeta(s)=\lim_{x\to\infty}\left(\sum_{n\leqslant x} \frac{1}{n^s}-\frac{x^{1-s}}{1-s}\right)$ for $0<s<1$?
127189
sum of this series: $\sum_{n=1}^{\infty}\frac{1}{4n^2-1}$
121554
Finding $\sum\frac{1}{2^n(n+1)}$
17690
Ways to prove Euler's formula for $\zeta(2n)$
12812
Sum of the alternating harmonic series $\sum_{k=1}^{\infty}\frac{(-1)^{k+1}}{k} = \frac{1}{1} - \frac{1}{2} + \cdots $
15045
Proving $\sum\limits_{l=1}^n \sum\limits _{k=1}^{n-1}\tan \frac {lk\pi }{2n+1}\tan \frac {l(k+1)\pi }{2n+1}=0$
136444
Evaluating $\sum_{n=0}^\infty\frac{(-1)^n}{3n+1}$
20550
Generalized Euler sum $\sum_{n=1}^\infty \frac{H_n}{n^q}$
15477
Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?
111524
Information on the sum $\sum_{n=1}^\infty \frac{\log n}{n!}$