Linear equations over multiplicative groups, recurrences, and mixing I

@article{Derksen2010LinearEO,
  title={Linear equations over multiplicative groups, recurrences, and mixing I},
  author={Harm Derksen and David Masser},
  journal={Proceedings of the London Mathematical Society},
  year={2010},
  volume={104}
}
  • H. DerksenD. Masser
  • Published 21 October 2010
  • Mathematics
  • Proceedings of the London Mathematical Society
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. 

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