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

• Autores: Lian Zhong Yang, Ji-Long Zhang
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 76, Nº. 1-2, 2008, págs. 140-150
• Idioma: inglés
• DOI: 10.1007/s00010-007-2913-7
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• Resumen

  • 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.