{ "id": "1905.01512", "version": "v1", "published": "2019-05-04T15:32:54.000Z", "updated": "2019-05-04T15:32:54.000Z", "title": "Transference theorems for Diophantine approximation with weights", "authors": [ "Oleg N. German" ], "categories": [ "math.NT" ], "abstract": "In this paper we prove transference inequalities for regular and uniform Diophantine exponents in the weighted setting. Our results generalize the corresponding inequalities that exist in the `non-weighted' case.", "revisions": [ { "version": "v1", "updated": "2019-05-04T15:32:54.000Z" } ], "analyses": { "keywords": [ "diophantine approximation", "transference theorems", "uniform diophantine exponents", "transference inequalities" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }