residue of $\frac{1}{1+z^{2}}$
121128
Calculating a Residue at one of the poles of $\frac{1}{1+z^n}$
140399
Taylor series for $\ln(\frac{1-z^2}{1+z^3})$
109606
Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
152358
integration using residue
43506
Contour integral of $\sqrt{z^2-1}$ on $|z| = 2$
115912
Summation inductional proof: $\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\ldots+\frac{1}{n^2}<2$
25910
Product of Quadratic Residues
114734
Prove that $\frac{1}{2\pi i}\int_\mathcal{C} |1+z+z^2+\cdots+z^{2n}|^2~dz =2n$ where $\mathcal{C}$ is the unit circle
132182
$\sum_{n=1}^\infty \sum_{m=1}^\infty\frac{1}{(m+n)^2}$
10341
complex integration $\frac{1-|a|^{2}}{\pi}\int_{L}\frac{|dz|}{{|z+a|}^{2}}$
93276
A question on applying Residue Theorem to definite real integral
142619
Evaluating the complex integral $\int_{|z|=2}^{}\frac{1}{z^2+1}dz$
105943
Laurent series for $1/(e^z-1)$
68635
When is $2$ a quadratic residue mod $p$?
44928
Show $\sum_n \frac{z^{2^n}}{1-z^{2^{n+1}}} = \frac{z}{1-z}$
50057
Complex analysis and Cauchy Residue theorem