Solvability of polynomial equations of the form p^n + q^n = r^n + s^n and more general sums of powered polynomials equaling zero is studied, linked to the abc-conjecture.
Bôcher,Certain cases in which the vanishing of the Wronskian is a sufficient condition for linear dependence, Trans
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Ramanujan, the taxicab problem for polynomials, and the abc-conjecture
Solvability of polynomial equations of the form p^n + q^n = r^n + s^n and more general sums of powered polynomials equaling zero is studied, linked to the abc-conjecture.