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arXiv · 2110.02598

The $p$-adic Duffin--Schaeffer conjecture

Simon Kristensen·Mathias Løkkegaard Laursen
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Abstract

We prove Haynes' version of the Duffin--Schaeffer conjecture for the $p$-adic numbers. In addition, we prove several results about an associated related but false conjecture, related to $p$-adic approximation in the spirit of Jarn\'ik and Lutz.

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Simon Kristensen, Mathias Løkkegaard Laursen. 2021-10-06. The $p$-adic Duffin--Schaeffer conjecture. https://arxiv.org/abs/2110.02598

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