$arctan(z)$ and Riemann Surfaces

Mathematics Asked by Elene on December 14, 2020

How do I link the complex trigonometric function arctan(z) and it’s branch cuts and branch points with Riemann surfaces? I have seen the picture of the function’s Riemann surface but I don’t understand it very well.

branch cuts branch points complex analysis riemann surfaces trigonometry

$arctan(z)$ and Riemann Surfaces

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