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

@inproceedings{Derksen2012LinearEO, title={Linear equations over multiplicative groups, recurrences, and mixing I}, author={Harm Derksen and D. W. Masser}, year={2012} }

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.

#### Citations

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## On vanishing coefficients of algebraic power series over fields of positive characteristic

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CITES BACKGROUND

HIGHLY INFLUENCED

## Convergence to the Mahler measure and the distribution of periodic points for algebraic Noetherian $\mathbb{Z}^d$-actions

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CITES METHODS

HIGHLY INFLUENCED

## N T ] 1 8 M ay 2 01 2 ON VANISHING COEFFICIENTS OF ALGEBRAIC POWER SERIES OVER FIELDS OF POSITIVE CHARACTERISTIC by Boris Adamczewski

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HIGHLY INFLUENCED

## Mahler's Work and Algebraic Dynamical Systems

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CITES BACKGROUND

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