On Fermat Diophantine functional equations, little Picard theorem and beyond
Tóm tắt
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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