Diophantine approximation and parametric geometry of numbers |
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| Authors: | Wolfgang M. Schmidt Leonhard Summerer |
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| Affiliation: | 1. Department of Mathematics, University of Colorado, Boulder, CO, 80309-0395, USA
2. Fakult?t für Mathematik, Universit?t Wien, Nordbergstr. 15, 1090, Vienna, Austria
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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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