Removable Sets in the Oscillation Theory of Complex Differential Equations

Let f1, f2 be two linearly independent solutions of the linear differential equation f 0 qA z. fs0, where A z. is transcendental entire, and assume that the exponents of convergence for the zero-sequences of f1, f2 satisfy max l f1., l f2 ..s`. Our main result proves that the zeros of E[f1 f2 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.