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arXiv · 1704.00291

Parametric geometry of numbers in function fields

Damien Roy·Michel Waldschmidt
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Abstract

Parametric geometry of numbers is a new theory, recently created by Schmidt and Summerer, which unifies and simplifies many aspects of classical Diophantine approximations, providing a handle on problems which previously seemed out of reach. Our goal is to transpose this theory to fields of rational functions in one variable and to analyze in that context the problem of simultaneous approximation to exponential functions.

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Damien Roy, Michel Waldschmidt. 2017-04-02. Parametric geometry of numbers in function fields. https://doi.org/10.1112/s0025579317000237

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