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## Homework Statement

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)?

## Homework Equations

Nothing.

## 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.