1

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!

Kristina
  • 11
  • As far as I know, Maple cannot solve general complex equations (with the exception of polynomials). – TorsionSquid Feb 26 '15 at 13:23
  • Nor can it display an infinite amount of solutions. – Hrodelbert Feb 26 '15 at 13:24
  • Both comments above are completely and utterly wrong: Maple by default works in the complex domain, and Maple can and does easily characterize countably infinite families of solutions by using integer-valued parameters. – Carl Love Feb 28 '15 at 00:26

1 Answers1

5

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.

Eff
  • 12,989