Families of cubic Thue equations with effective bounds for the solutions
Number Theory
2013-12-30 v1
Abstract
To each non totally real cubic extension of and to each generator of the cubic field , we attach a family of cubic Thue equations, indexed by the units of , and we prove that this family of cubic Thue equations has only a finite number of integer solutions, by giving an effective upper bound for these solutions.
Keywords
Cite
@article{arxiv.1312.7204,
title = {Families of cubic Thue equations with effective bounds for the solutions},
author = {Claude Levesque and Michel Waldschmidt},
journal= {arXiv preprint arXiv:1312.7204},
year = {2013}
}