{ "id": "1512.05850", "version": "v1", "published": "2015-12-18T04:32:20.000Z", "updated": "2015-12-18T04:32:20.000Z", "title": "Dirichlet's Theorem in function fields", "authors": [ "Arijit Ganguly", "Anish Ghosh" ], "categories": [ "math.NT", "math.DS" ], "abstract": "We study metric Diophantine approximation in local fields of positive characteristic. Specifically, we study the problem of improving Dirichlet's theorem in Diophantine approximation and prove very general results in this context.", "revisions": [ { "version": "v1", "updated": "2015-12-18T04:32:20.000Z" } ], "analyses": { "keywords": [ "function fields", "study metric diophantine approximation", "general results", "improving dirichlets theorem", "local fields" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }