Metric Diophantine approximation with respect to planar distance functions
Number Theory
2007-05-23 v1
Abstract
We outline a proof of an analogue of Khintchine's Theorem in R^2, where the ordinary height is replaced by a distance function satisfying an irrationality condition as well as certain decay and symmetry conditions.
Cite
@article{arxiv.math/0401371,
title = {Metric Diophantine approximation with respect to planar distance functions},
author = {Simon Kristensen},
journal= {arXiv preprint arXiv:math/0401371},
year = {2007}
}