March 2023 The $p$-adic Duffin-Schaeffer conjecture
Simon Kristensen, Mathias Løkkegaard Laursen
Funct. Approx. Comment. Math. 68(1): 113-126 (March 2023). DOI: 10.7169/facm/2042

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 Jarník and Lutz.

Citation

Download Citation

Simon Kristensen. Mathias Løkkegaard Laursen. "The $p$-adic Duffin-Schaeffer conjecture." Funct. Approx. Comment. Math. 68 (1) 113 - 126, March 2023. https://doi.org/10.7169/facm/2042

Information

Published: March 2023
First available in Project Euclid: 18 November 2022

MathSciNet: MR4564866
zbMATH: 07688270
Digital Object Identifier: 10.7169/facm/2042

Subjects:
Primary: 11J83
Secondary: 11J61

Keywords: $p$-adic numbers , diophantine approximation , Haar measure

Rights: Copyright © 2023 Adam Mickiewicz University

JOURNAL ARTICLE
14 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.68 • No. 1 • March 2023
Back to Top