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On Fermat Diophantine functional equations and little Picard theorem (1711.04924v3)
Published 14 Nov 2017 in math.CA
Abstract: We discuss equivalence conditions on the non-existence of non-trivial meromorphic solution to the Fermat Diophantine equations $fm(z)+gn(z)=1$ with integers $m,n\geq2$, from which other approaches to prove little Picard theorem are provided.