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Meromorphic functions that share three values. (Chinese) Zbl 0699.30024
If f(z)-a and g(z)-a have the same zeros with the same mulitplicies, we write \(f=a\rightleftarrows g=a\). In this paper, the author obtains several unicity theorems for meromorphic functions f(z) and g(z) that share three values, i.e. \(f=0\rightleftarrows g=0\), \(f=1\rightleftarrows g=1\), \(f=\infty \rightleftarrows g=\infty\), and negates the conjecture of C. C. Yang [Adv. Math., Beijing 13, 1-3 (1984)] on entire functions that share two values, with a counterexample.
Reviewer: Sun Daochun

30D30 Meromorphic functions of one complex variable (general theory)
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory