List questions from contour-integration

Published on 17 Apr 2026 - 11:48

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Contour integral of inverse square root.

Published on 10 May 2026 - 13:49

57

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Show that $\left|\oint_{\gamma_R}f(z) \ dz\right|\leq\max_{z\in\gamma_R}\left|f(z)\right||\gamma_r|.$

Published on 10 May 2026 - 18:45

178

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Does this contour integral actually count the roots of $\zeta(s)$ with imaginary part $<T$?

Published on 14 May 2026 - 19:07

127

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Reference contour integral

Published on 10 May 2026 - 17:18

34

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what does the definite integral of a parametrised integral look like?

Published on 13 Apr 2026 - 13:29

45

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Elementary contour integral

Published on 12 Apr 2026 - 19:10

51

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Equality of complex line integrals along the closed contours $C$ and $C'$ where $C'$ is inside $C$ when we join them with a straight line

Published on 10 May 2026 - 17:20

119

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Evaluating the integral $\int_{-\infty}^{\infty}\ln|x|e^{-x^2}dx$

Published on 15 Apr 2026 - 3:48

141

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Hyperbolic contour integration

Published on 11 Apr 2026 - 0:09

1.4k

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How integrating over a branch cut is made rigorous?

Published on 11 Apr 2026 - 16:41

86

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Is $2\pi\sum_{n=0}^\infty\frac1{n!(n+1)!}$ equal to $5/\pi$?

Published on 11 May 2026 - 3:10

308

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Finding a contour for $\int_{0}^{\infty}\frac{e^{ix}}{x^2+1}\text{d}x$?

Published on 13 Apr 2026 - 23:22

65

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Why Can't We Use The MLA Lemma?

Published on 14 Apr 2026 - 5:04

432

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ML lemma to show that $\left|\int_\Gamma \frac{\text{Log}(z)}{(z^2+1)^2} \ dz\right|\rightarrow 0$ (indented contour)

Published on 16 Apr 2026 - 2:11

List Question

Compute $i\oint_{|z|=1}\frac{(1-z^2)^2}{z^2(1+6z+z^2)} \ dz$

Contour integral of inverse square root.

Show that $\left|\oint_{\gamma_R}f(z) \ dz\right|\leq\max_{z\in\gamma_R}\left|f(z)\right||\gamma_r|.$

Does this contour integral actually count the roots of $\zeta(s)$ with imaginary part $<T$?

Reference contour integral

what does the definite integral of a parametrised integral look like?

Elementary contour integral

Equality of complex line integrals along the closed contours $C$ and $C'$ where $C'$ is inside $C$ when we join them with a straight line

Evaluating the integral $\int_{-\infty}^{\infty}\ln|x|e^{-x^2}dx$

Hyperbolic contour integration

How integrating over a branch cut is made rigorous?

Is $2\pi\sum_{n=0}^\infty\frac1{n!(n+1)!}$ equal to $5/\pi$?

Finding a contour for $\int_{0}^{\infty}\frac{e^{ix}}{x^2+1}\text{d}x$?

Why Can't We Use The MLA Lemma?

ML lemma to show that $\left|\int_\Gamma \frac{\text{Log}(z)}{(z^2+1)^2} \ dz\right|\rightarrow 0$ (indented contour)

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