1. The problem statement, all variables and given/known data Suppose f is an entire function, satisfying f(z + a) = f(z) = f(z + b), for all z [itex]\in[/itex] C; where a; b are nonzero, distinct complex numbers. Prove that f is constant. 2. Relevant equations Loville's theorem: if f is bounded & entire, then f is constant. 3. The attempt at a solution where would I begin to prove this function is bounded? any hint would be appreciated!