Abstract
We discuss equivalence conditions for the non-existence of non-trivial meromorphic solutions to the Fermat Diophantine equation \(f^m(z)+g^n(z)=1\) with integers \(m,n\ge 2\), from which other approaches to proving the little Picard theorem are discussed.
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Chen, W., Han, Q. & Liu, J. On Fermat Diophantine functional equations, little Picard theorem and beyond. Aequat. Math. 93, 425–432 (2019). https://doi.org/10.1007/s00010-018-0614-z
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DOI: https://doi.org/10.1007/s00010-018-0614-z