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arXiv · 1905.01678

Simultaneous approximation to values of the exponential function over the adeles

Damien Roy
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Abstract

We show that Hermite's approximations to values of the exponential function at given algebraic numbers are nearly optimal when considered from an adelic perspective. We achieve this by taking into account the ratio of these values whenever they make sense in the various completions (Archimedean or $p$-adic) of a number field containing these algebraic numbers.

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Damien Roy. 2019-05-05. Simultaneous approximation to values of the exponential function over the adeles. https://doi.org/10.1007/s00208-020-02005-5

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