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arxiv: 1005.3448 · v2 · pith:43OS5FSBnew · submitted 2010-05-19 · 🧮 math.NT · math.AG

On Hall's conjecture

classification 🧮 math.NT math.AG
keywords integercoefficientsconjectureevenexisthallpolynomialspositive
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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.

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