Uniqueness of entire functions concerning weighted sharing

The uniqueness problem of entire functions concerning weighted sharing was discussed, and the following theorem was proved. Let f and g be two non-constant entire functions, m, n and k three positive integers, and n>2k+4. If Em(1,(f n)(k))= Em(1,(gn)(k)), then either f (z)=c1ecz and g(z)= c2e-cz, or f =tg, where c, c1 and c2 are three constants satisfying (-1)k(c1c2)n(nc)2k=1, and t is a constant satisfying t n=1. The theorem generalizes the result of Fang [Fang ML, Uniqueness and value sharing of entire functions, Computer & Mathematics with Applications, 2002, 44: 823-831].