The $p$-adic Duffin--Schaeffer conjecture
Number Theory
2022-05-11 v2
Abstract
We prove Haynes' version of the Duffin--Schaeffer conjecture for the -adic numbers. In addition, we prove several results about an associated related but false conjecture, related to -adic approximation in the spirit of Jarn\'ik and Lutz.
Cite
@article{arxiv.2110.02598,
title = {The $p$-adic Duffin--Schaeffer conjecture},
author = {Simon Kristensen and Mathias Løkkegaard Laursen},
journal= {arXiv preprint arXiv:2110.02598},
year = {2022}
}
Comments
Typos corrected and clarifications made, following suggestions of a referee