greetings . this is my first post here . i am preparing myself for a complex analysis course that i will be taking next semester . i came across this problem , which is probably a very simple one , but i don't know how to go about it , so bare with me(adsbygoogle = window.adsbygoogle || []).push({});

we have the contour integration

[tex] I(x)=\frac{1}{2\pi i} \int_{\sigma-iT}^{\sigma+iT}\left(\frac{x}{n}\right)^{s}ds[/tex]

where [itex] \Re(s) ,\sigma > 1[/itex]

x is a variable , and n is a constant .

i need the integration to yield a constant if [itex] x=n [/itex], and zero otherwise !?!?

my guess is that the function [itex] \frac{x}{n} [/itex] should be somehow modified to yield the desired result - constant for x=n , zero other wise - . or is it the contour that should be changed !?!?

your help is appreciated .

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# A simple problem in contour integration

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