Intuition behind $\zeta(-1)$ = $\frac{-1}{12}$
4340
Why does $1+2+3+\cdots = -\frac{1}{12}$?
71681
Asymptotic expansion of $u_{n + 1} = \frac12 \arctan(u_n)$
127267
Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(2n+1)}=2-2\ln(2)$
24202
The value of the trilogarithm at $\frac{1}{2}$
64941
Why is $1 - \frac{1}{1 - \frac{1}{1 - \ldots}}$ not real?
24373
Hint on computing the series $\sum_{n=2}^\infty \frac{1}{n^2-1}$.
15477
Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?
115512
Limit of Zeta function
61794
Interesting and unexpected applications of $\pi$
104512
Why is $\frac{1}{2\pi i}\int_{\gamma}\frac{f'(z)}{f(z)}dz$ an integer?
22524
Proving that $\frac{\pi^{3}}{32}=1-\sum_{k=1}^{\infty}\frac{2k(2k+1)\zeta(2k+2)}{4^{2k+2}}$
13111
What does this $\asymp$ symbol mean? (subject: analytic number theory)
153664
When is $\Bbb{Z[\zeta_n]}$ a PID?
2981
Evaluating $\zeta(0)$ using the functional equation of Riemann-Zeta function.
83290
How is the value of $\pi$ ( Pi ) actually calculated?
62913
Understanding $\sum_{n=1}^{\infty} \frac{1}{n^4} = \frac{\pi^4}{90}$
12217
What is so special about $\alpha=-1$ in the integral of $x^\alpha$?