English

On Hall's conjecture

Number Theory 2011-03-15 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1005.3448,
  title  = {On Hall's conjecture},
  author = {Andrej Dujella},
  journal= {arXiv preprint arXiv:1005.3448},
  year   = {2011}
}

Comments

7 pages, minor changes, to appear in Acta Arith

R2 v1 2026-06-21T15:25:01.921Z