Geodesic
On the quantitative subspace theorem
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 217-240

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In this survey, we give an overview of recent improvements upon the Quantitative Subspace Theorem, obtained jointly with R. Ferretti, which follow from work in [9]. Further, we give a new gap principle with which we can estimate the number of subspaces containing the “small solutions” of the systems of inequalities under consideration. As an introduction, we start with a quantitative version of Roth's theorem. Bibl. 28 titles. 
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     author = {J.-H. Evertse},
     title = {On the quantitative subspace theorem},
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J.-H. Evertse. On the quantitative subspace theorem. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 217-240. http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a16/