Metrical Diophantine approximation for quaternions
Number Theory
2019-02-20 v4
Abstract
Analogues of the classical theorems of Khintchine, Jarnik and Jarnik-Besicovitch in the metrical theory of Diophantine approximation are established for quaternions by applying results on the measure of general `lim sup' sets.
Keywords
Cite
@article{arxiv.1109.3229,
title = {Metrical Diophantine approximation for quaternions},
author = {Maurice Dodson and Brent Everitt},
journal= {arXiv preprint arXiv:1109.3229},
year = {2019}
}
Comments
30 pages. Some minor improvements