Mordell's equation : a classical approach
Number Theory
2019-02-20 v1
Abstract
We solve the Diophantine equation for all nonzero integers with . Our approach uses a classical connection between these equations and cubic Thue equations. The latter can be treated algorithmically via lower bounds for linear forms in logarithms in conjunction with lattice-basis reduction.
Keywords
Cite
@article{arxiv.1311.7077,
title = {Mordell's equation : a classical approach},
author = {Michael A. Bennett and Amir Ghadermarzi},
journal= {arXiv preprint arXiv:1311.7077},
year = {2019}
}