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Jody Esmonde - Parametric solutions to the generalized Fermat equation



JODY ESMONDE, Department of Mathematics and Statistics, McGill University, Montréal, Québec  H3A 2K6, Canada
Parametric solutions to the generalized Fermat equation


We will discuss parametric solutions $a(t), b(t), c(t) \in F[t]$ to the equation xp+yq=zr, proving that such solutions exist if and only if 1/p+1/q+1/r>1.