On the Nevanlinna direction of an algebroid function dealing with multiple values

In this paper, by using Ahlfors’ theory of covering surfaces, we prove that for an algebroid function w(z) satisfying lim supr→∞ T (r,w) log2 r =+∞, there exists at least one Nevanlinna direction dealing with multiple values. © 2006 Elsevier Inc. All rights reserved.