On Hall's conjecture

Details On Hall's conjecture On Hall's conjecture

2010-05-19

arxiv.org/abs/1005.3448v2

Acta Arith. 147 (2011), 397-402

Mathematics

Number Theory

7 pages, minor changes, to appear in Acta Arith

Scientific paper

10.4064/aa147-4-5

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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