{ "id": "math/0401371", "version": "v1", "published": "2004-01-27T10:56:29.000Z", "updated": "2004-01-27T10:56:29.000Z", "title": "Metric Diophantine approximation with respect to planar distance functions", "authors": [ "Simon Kristensen" ], "categories": [ "math.NT" ], "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.", "revisions": [ { "version": "v1", "updated": "2004-01-27T10:56:29.000Z" } ], "analyses": { "subjects": [ "11J83" ], "keywords": [ "metric diophantine approximation", "planar distance functions", "symmetry conditions", "khintchines theorem", "irrationality condition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......1371K" } } }