Abstract
In this paper, we solve a problem of J.H. Zheng (see Problem 5.12 of [J.H. Zheng, On value distribution of meromorphic functions with respect to arguments, preprint]) by proving that for any ν-valued algebroid function satisfying lim sup r → ∞ T ( r , w ) log 2 r = + ∞ , there exists a T-direction dealing with multiple values of w ( z ) .
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