Finding the value of $\sum_{n=1}^\infty \frac{1}{n^2}$ using Fourier transformation of a function f(x)
2302
Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ (Basel problem)
57759
Determining the infinite sum $\sum\limits_{n=0}^{\infty}\frac{(-1)^n}{2n+1}$
93825
Fourier transform of power function $t^\alpha$
137027
Find the value of $\sum_{n=0}^\infty\frac{1}{9n^2+9n+2}$
67271
$\sum_{n=-\infty}^{\infty}\frac{1}{(u +n)^2}=\frac{\pi^2}{(\sin \pi u)^2}$
56961
Evaluate the limit of $\sum_{n=1}^{\infty}\frac{n^2}{n!}$
10675
Proving that $\frac{1}{2\pi}\int_{0}^{2\pi}|f(re^{it})|^2dt=\sum_{n=0}^{\infty}|a_n|^2r^{2n}$
140614
Show that $\sum^\infty_{n=m}\frac{1}{n^2} = O(\frac{1}{m})$
28461
Show that $\lim_{n\to\infty} \sum_{k=1}^{n} \frac{n}{n^2+k^2}=\frac{\pi}{4}$
137249
find $\sum_{k=2}^{\infty}\frac{1}{k^2-1}$
115420
Evaluate $\sum_{n=1}^{\infty} \frac{n}{n^4+n^2+1}$
123951
Problem calculating sum of convergent series of $\sum_{n=2}^{\infty} \frac{1}{n^{2}-1}$
99420
Compute $\sum_{n=1}^\infty \frac{1}{(n+1)\sqrt[]{n}+n\sqrt[]{n+1}}$
88097
Fourier series for $f(x)=(\pi -x)/2$
136996
Fourier transform of function composition
150148
Sum of $\sum^\infty_{n=2} \frac{1}{\ln{(n!)}}$
151477
computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$