Attainable measures for certain types of p-adic Duffin--Schaeffer sets
Number Theory
2023-11-01 v3
Abstract
This paper settles recent conjectures concerning the -adic Haar measure applied to a family of sets defined in terms of Diophantine approximation. This is done by determining the spectrum of measure values for each family and seeing that this contradicts the corresponding conjectures.
Keywords
Cite
@article{arxiv.2212.03619,
title = {Attainable measures for certain types of p-adic Duffin--Schaeffer sets},
author = {Mathias Løkkegaard Laursen},
journal= {arXiv preprint arXiv:2212.03619},
year = {2023}
}
Comments
28 pages