Linear equations over multiplicative groups, recurrences, and mixing I

Details Linear equations over multiplicative groups, recurrences, and mixing I Linear equations over multiplicative groups, recurrences, and mixing I

2010-10-21

arxiv.org/abs/1010.4519v1

Mathematics

Number Theory

Scientific paper

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.

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