{ "id": "0912.2442", "version": "v3", "published": "2009-12-12T18:12:47.000Z", "updated": "2010-09-06T08:13:50.000Z", "title": "Contribution to Vojtech Jarnik", "authors": [ "Nikolay G. Moshchevitin" ], "comment": "The results of the second version are better than that from the first one. Misprints corrected in the third version", "categories": [ "math.NT" ], "abstract": "We find new inequalities between uniform and individual Diophantine exponents for three-dimensional Diophantine approximations. Also we give a result for two linear forms in two variables. The results improves V.Jarnik's theorem (1954).", "revisions": [ { "version": "v3", "updated": "2010-09-06T08:13:50.000Z" } ], "analyses": { "subjects": [ "11J13" ], "keywords": [ "vojtech jarnik", "contribution", "individual diophantine exponents", "three-dimensional diophantine approximations", "linear forms" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0912.2442M" } } }