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arXiv:1005.3448 [math.NT]AbstractReferencesReviewsResources

On Hall's conjecture

Andrej Dujella

Published 2010-05-19, updated 2010-07-09Version 2

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.

Comments: 7 pages, minor changes, to appear in Acta Arith
Journal: Acta Arith. 147 (2011), 397-402
Categories: math.NT, math.AG
Subjects: 11C08, 11D25, 11D75
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