{ "id": "0811.2102", "version": "v1", "published": "2008-11-13T13:19:05.000Z", "updated": "2008-11-13T13:19:05.000Z", "title": "On transfer inequalities in Diophantine approximation, II", "authors": [ "Y. Bugeaud", "M. Laurent" ], "categories": [ "math.NT" ], "abstract": "We refine Khintchine Transference Principle which relates the measure of simultaneous rational approximation of an $n$ real numbers with the measure of linear independence of these $n$ numbers. Khintchine's inequalities are known to be optimal. However, they may be sharpened by taking into account two further uniform exponents.", "revisions": [ { "version": "v1", "updated": "2008-11-13T13:19:05.000Z" } ], "analyses": { "subjects": [ "11J13" ], "keywords": [ "diophantine approximation", "transfer inequalities", "refine khintchine transference principle", "uniform exponents", "khintchines inequalities" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0811.2102B" } } }