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Resumen de Non-existence of meromorphic solutions of a Fermat type functional equation

Lian Zhong Yang, Ji-Long Zhang

  • In this paper, we will first establish a uniqueness theorem for meromorphic functions f 1, f 2, and f 3 that satisfy the functional equation f 1 + f 2 + f 3 = 1, and as applications, we give some results about the existence of meromorphic solutions of f n + g n + h n = 1 and two results related to a conjecture of R. Brück.


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