Vaaler's theorem in number fields
Number Theory
2022-11-01 v1
Abstract
In Diophantine approximation, Vaaler's theorem was an important partial result towards the Duffin--Schaeffer conjecture, which was open for almost eighty years before it was recently proven by Koukoulopoulos and Maynard. A version of this result was previously proven to also hold in imaginary quadratic fields: in this paper, we establish a version of Vaaler's theorem in general number fields.
Cite
@article{arxiv.2210.17064,
title = {Vaaler's theorem in number fields},
author = {Matthew Palmer},
journal= {arXiv preprint arXiv:2210.17064},
year = {2022}
}
Comments
24 pages