Linear equations over multiplicative groups, recurrences, and mixing I
H. Derksen, D. Masser · Proceedings of the London Mathematical Society · 2012
Let K be a field of positive characteristic. When V is a linear variety in Kn and G is a finitely generated subgroup of K*, we show how to compute the set V∩Gn effectively using heights. We calculate all the estimates explicitly. A special case provides the effective solution of the S-unit equation in n variables.