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Diophantine approximation and parametric geometry of numbers

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Abstract

Dirichlet’s Theorem on simultaneous approximation involves a parameter Q. It can be derived from Minkowski’s geometry of numbers involving a symmetric convex body depending on Q. Therefore it is natural to study parametric Geometry of Numbers. In turn, this will shed new light on diophantine approximation.

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Correspondence to Leonhard Summerer.

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Communicated by J. Schoißengeier.

L. Summerer was supported by FWF grant P22794-N13.

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Schmidt, W.M., Summerer, L. Diophantine approximation and parametric geometry of numbers. Monatsh Math 169, 51–104 (2013). https://doi.org/10.1007/s00605-012-0391-z

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  • DOI: https://doi.org/10.1007/s00605-012-0391-z

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