MathDB

Let

f

be an entire function on

\mathbb C

and

\omega_1,\omega_2

are complex numbers such that

\frac {\omega_1}{\omega_2}\in{\mathbb C}\backslash{\mathbb Q}

. Prove that if for each

z\in \mathbb C

, f(z) \equal{} f(z \plus{} \omega_1) \equal{} f(z \plus{} \omega_2) then

f

is constant.

Problem Statement