On Hall's conjecture
arXiv:1005.3448 · doi:10.4064/aa147-4-5
Abstract
We show that for any even positive integer d there exist polynomials x and y with integer coefficients such that deg(x) = 2d, deg(y) = 3d and deg(x^3 - y^2) = d + 5.
7 pages, minor changes, to appear in Acta Arith