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arXiv · 1711.04924

On Fermat Diophantine functional equations and little Picard theorem

Jingbo Liu·Qi Han·Wei Chen
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Abstract

We discuss equivalence conditions on the non-existence of non-trivial meromorphic solution to the Fermat Diophantine equations $f^m(z)+g^n(z)=1$ with integers $m,n\geq2$, from which other approaches to prove little Picard theorem are provided.

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Jingbo Liu, Qi Han, Wei Chen. 2017-11-14. On Fermat Diophantine functional equations and little Picard theorem. https://doi.org/10.1007/s00010-018-0614-z

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