| In this paper, the following theorem is obtained: Let w=w(z) be a υ valued algebroid function of finite order ρ>0 for |z|<∞ , then there exists a direction L: arg z=θ０(0≤θ０<2π) , such that for any δ>0(δ<π/2 ), with 3υ-1 possible exceptions for any value of a . Where n3) (r,Δ(θ０,δ),a) is the numbers of distinct zeros with multiplicity ≤3 of w(z)-a in Δ(θ０,δ)∩{|z|≤r} . |
