Metric Diophantine approximation with respect to planar distance functions
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2004
 arXiv:
 arXiv:math/0401371
 Bibcode:
 2004math......1371K
 Keywords:

 Mathematics  Number Theory;
 11J83