Subspace Theorem

Saradha Natarajan () and Ravindranathan Thangadurai
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Saradha Natarajan: University of Mumbai, DAE Centre for Excellence in Basic Sciences
Ravindranathan Thangadurai: Harish-Chandra Research Institute, Department of Mathematics

Chapter Chapter 9 in Pillars of Transcendental Number Theory, 2020, pp 155-170 from Springer

Abstract: Abstract Subspace theorem is a multidimensional extension of Roth’s theorem developed by Schmidt in 1980. He introduced several new ideas, especially from the geometry of numbers. An important ingredient was the properties of successive minima. Since the proofs of his results are beyond the scope of this book, we limit ourselves to stating two versions of his results and derive Roth’s theorem. See Sect. 9.1. In Sect. 9.2, we present some classical approximation results derived from Dirichlet’s multidimensional theorem.

Date: 2020
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DOI: 10.1007/978-981-15-4155-1_9

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