(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How would one go about finding the fixed points of e^z, where z is complex (i.e. all z s.t. e^z = z)?

2. Relevant equations

Nothing.

3. The attempt at a solution

I've considered all the relevant formulas (de Moivre's forumla, power series, z = re^i*theta, ...).

For some reason, I'm just not getting the solution. I feel that this is going to be really obvious, and I'm not sure why I'm not getting it. Thanks.

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# Fixed points of e^z

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