Extremal families of cubic Thue equations
Number Theory
2014-02-11 v1
Abstract
We exactly determine the integral solutions to a previously untreated infinite family of cubic Thue equations of the form with at least such solutions. Our approach combines elementary arguments, with lower bounds for linear forms in logarithms and lattice-basis reduction.
Keywords
Cite
@article{arxiv.1402.2005,
title = {Extremal families of cubic Thue equations},
author = {Michael A. Bennett and Amir Ghadermarzi},
journal= {arXiv preprint arXiv:1402.2005},
year = {2014}
}