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.
de Bondt,Another generalization of Mason’s ABC-theorem, arXiv:0707.0434,https://arxiv.org/abs/0707.0434
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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.