Cubic Thue inequalities with positive discriminant
Number Theory
2013-07-23 v1
Abstract
We will give an explicit upper bound for the number of solutions to cubic inequality |F(x, y)| \leq h, where F(x, y) is a cubic binary form with integer coefficients and positive discriminant D. Our upper bound is independent of h, provided that h is smaller than D^{1/4}.
Keywords
Cite
@article{arxiv.1307.5692,
title = {Cubic Thue inequalities with positive discriminant},
author = {Shabnam Akhtari},
journal= {arXiv preprint arXiv:1307.5692},
year = {2013}
}