{ "id": "1606.06064", "version": "v1", "published": "2016-06-20T11:04:53.000Z", "updated": "2016-06-20T11:04:53.000Z", "title": "Some remarks on Mahler's classification in higher dimension", "authors": [ "Simon Kristensen", "Steffen Højris Pedersen", "Barak Weiss" ], "categories": [ "math.NT" ], "abstract": "We prove a number of results on the metric and non-metric theory of Diophantine approximation for Yu's multidimensional variant of Mahler's classification of transcendental numbers. Our results arise as applications of well known results in Diophantine approximation to the setting of Yu's classification.", "revisions": [ { "version": "v1", "updated": "2016-06-20T11:04:53.000Z" } ], "analyses": { "subjects": [ "11J82", "11J83" ], "keywords": [ "mahlers classification", "higher dimension", "diophantine approximation", "yus multidimensional variant", "yus classification" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }