Abstract
We obtain uniqueness theorems for algebraic functions that take into account not onlyA-points but also the number of covering elements located above them.
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R. Nevanlinna,Uniformization [Russian translation], Inostrannaya Literatura, Moscow (1955).
A. A. Goldberg and V. A. Pyana, “The uniqueness theorems for algebraic functions,”Adv. Sov. Math.,11, 199–204 (1992).
B. L. van der Waerden,Algebra [Russian translation], Nauka, Moscow (1976).
A. A. Gol'dberg and V. A. P'yana, “Uniqueness theorems for rational, algebraic, and algebroid functions,”Ukr. Mat. Zh.,46, No. 2, 212–226(1994).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 11, pp. 1498–1505, November, 1995.
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Gol'dberg, A.A. Uniqueness theorems for algebraic functions that take the number of algebraic elements into account. Ukr Math J 47, 1711–1719 (1995). https://doi.org/10.1007/BF01057919
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DOI: https://doi.org/10.1007/BF01057919