Complex solutions of equations in Maple

Question

Is it possible to compute all complex solutions of the equation $$ e^z = 1 $$ in Maple?

That is, I need Maple print all solutions $z=2\pi k I$.

What procedure do I have to use?

Thank you very much in advance!

Answer 1

It is done by

solve(exp(z)=1,z,AllSolutions=true);

The output will be

2*I*Pi*_Z1~

The _Z1 represents some constant, and the tilde implies that there is some assumption on the constant, which in this case means that it is an integer.

getassumptions(_Z1);

tells you that it must be an integer.