English

Cubic Thue Equations

Number Theory 2009-07-21 v1

Abstract

We revisit a work by R. Okazaki and prove that for every cubic binary form F(x, y) with large enough discriminant, the Thue equation |F(x, y)| = 1 has at most 7 solutions in integers x and y.

Keywords

Cite

@article{arxiv.0907.3288,
  title  = {Cubic Thue Equations},
  author = {Shabnam Akhtari},
  journal= {arXiv preprint arXiv:0907.3288},
  year   = {2009}
}

Comments

To appear in the Publicationes Mathematicae Debrecen

R2 v1 2026-06-21T13:26:37.607Z