1. The problem statement, all variables and given/known data Let ω be the complex number e^(2πi/3)， Find the power series for e^z + e^(ωz) + e^((ω^2) z). 2. Relevant equations 3. The attempt at a solution I can show that 1+w+w^2=0, dunno if it would help. Could anyone plz give me some hints? Any input is appreciated!