On unique factorizability of composite entire functions (Q1097367)

The author proves some interesting theorems on unique factorization on entire functions under composition. e.g. Theorem: Let \(p\geq 3\) be a prime number. Let \(g_ 0(z)\) be a prime non-periodic, transcendental entire function, which has at least two different zeros such that there are no zeros of \(g_ 0(z)\) being equally distributed on a circle centered at a zero of \(g_ 0(z)\). Then \(F(z)=g_ 0(z)^ p\) is uniquely factorizable into two primes.