Let f1,f2 be two linearly independent solutions of the linear differential equation f"+A(z)f=0, where A(z) is transcendental entire, and assume that the exponents of convergence for the zero-sequences of f1,f2 satisfy max (λ(f1),λ(f2))=∞. Our main result proves that the zeros of E:=f1f2 are uniformly distributed in the sense that quite arbitrary large areas of the complex plane can be removed in such a way that if only zeros outside of these areas will be counted for the exponents of convergences, their maximum still remains infinite.