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arXiv · 1403.7342

Diagonal approximation in completions of Q

Matthew Palmer
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Abstract

We prove analogues of some classical results from Diophantine approximation and metric number theory (namely Dirichlet's theorem and the Duffin--Schaeffer theorem) in the setting of diagonal Diophantine approximation, i.e. approximating elements of $\mathbb{R} \times \mathbb{Q}_{p_1} \times \cdots \times \mathbb{Q}_{p_r}$ by elements of the diagonal embedding of $\mathbb{Q}$ into this space.

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Matthew Palmer. 2014-03-28. Diagonal approximation in completions of Q. https://arxiv.org/abs/1403.7342

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