Evaluating sums using residues $(-1)^n/n^2$
42326
Complex Analysis Solution to the Basel Problem ($\sum_{k=1}^\infty \frac{1}{k^2}$)
92754
Closed form for the series: $\sum_{n=1}^{\infty}x^{n^2}$
130083
Evaluating sum of a combination series
121554
Finding $\sum\frac{1}{2^n(n+1)}$
136444
Evaluating $\sum_{n=0}^\infty\frac{(-1)^n}{3n+1}$
121128
Calculating a Residue at one of the poles of $\frac{1}{1+z^n}$
152231
Computing the product of p/(p - 2) over the odd primes
57463
Evaluate the integral using the theory of residues: $\int_{-\infty}^{\infty} \frac{dx}{(x^2+1)^2(x^2+16)}$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
79044
Using the residue theorem, calculate $\int_{0}^{2\pi}\frac{1}{1-2a\cos{\theta}+a^2}d\theta$
96414
Using residues to evaluate the integral $\int_{-\pi}^{\pi} \frac{\cos(n\theta)}{1-2a\cos(\theta)+a^2}d\theta$, $|a|<1$
72502
Evaluate $\sum_{n=1}^\infty nx^{n-1}$
76387
Evaluate the series $\sum_{n=1}^{\infty} \frac{2^{[\sqrt{n}]}+2^{-[\sqrt{n}]}}{2^n}$
113189
Find the sum of the series $1^2-2^2+3^2-4^2+...-(2n)^2$
23606
Prime divisors of the integer $n^2+n-1$ (using the Legendre symbol)
24373
Hint on computing the series $\sum_{n=2}^\infty \frac{1}{n^2-1}$.
151384
Summation of series involving binomial coefficients and polynomial of degree at most n-1