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The subspace theorem

Enrico Bombieri,Walter Gubler-2001-01-01-Cambridge University Press eBooks
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TL;DRAbstract

This chapter deals with Schmidt's far-reaching extension of Roth's theorem to systems of inequalities in linear forms. This is not a routine generalization; entirely new difficulties appear in the course of the proof, which Schmidt resolved by introducing new ideas from Minkowski's geometry of numbers.

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This chapter deals with Schmidt's far-reaching extension of Roth's theorem to systems of inequalities in linear forms. This is not a routine generalization; entirely new difficulties appear in the course of the proof, which Schmidt resolved by introducing new ideas from Minkowski's geometry of numbers.

Keywords

Subspace topologyMathematicsComputer sciencePure mathematicsMathematical analysis

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