{ "id": "math/0609478", "version": "v2", "published": "2006-09-17T17:35:01.000Z", "updated": "2008-10-21T19:48:30.000Z", "title": "On the number of linear forms in logarithms", "authors": [ "Youness Lamzouri" ], "comment": "8 pages", "journal": "Journal of Number Theory, 125 (2007), 247-253", "categories": [ "math.NT", "math.CO" ], "abstract": "Let $n$ be a positive integer. In this paper we estimate the size of the set of linear forms $b_1\\log a_1 + b_2\\log a_2+...+b_n\\log a_n$, where $|b_i|\\leq B_i$ and $1\\leq a_i\\leq A_i$ are integers, as $A_i,B_i\\to \\infty$.", "revisions": [ { "version": "v2", "updated": "2008-10-21T19:48:30.000Z" } ], "analyses": { "subjects": [ "11N25", "05A05" ], "keywords": [ "linear forms", "logarithms" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......9478L" } } }