{ "id": "2312.15455", "version": "v1", "published": "2023-12-24T10:36:05.000Z", "updated": "2023-12-24T10:36:05.000Z", "title": "Inhomogeneous Kaufman Measures and Diophantine Approximation", "authors": [ "Sam Chow", "Agamemnon Zafeiropoulos", "Evgeniy Zorin" ], "categories": [ "math.NT" ], "abstract": "We introduce an inhomogeneous variant of Kaufman's measure, with applications to diophantine approximation. In particular, we make progress towards a problem related to Littlewood's conjecture.", "revisions": [ { "version": "v1", "updated": "2023-12-24T10:36:05.000Z" } ], "analyses": { "keywords": [ "inhomogeneous kaufman measures", "diophantine approximation", "kaufmans measure", "littlewoods conjecture" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }