Linear equations over multiplicative groups, recurrences, and mixing I
Number Theory
2014-02-26 v1
Abstract
Let K be a field of positive characteristic. When V is a linear variety in K^n and G is a finitely generated subgroup of K^*, we show how to compute the intersection of V and G^n effectively using heights. We calculate all the estimates explicitly. A special case provides the effective solution of the S-unit equation in n variables.
Cite
@article{arxiv.1010.4519,
title = {Linear equations over multiplicative groups, recurrences, and mixing I},
author = {Harm Derksen and David Masser},
journal= {arXiv preprint arXiv:1010.4519},
year = {2014}
}