{ "id": "1102.1155", "version": "v1", "published": "2011-02-06T14:16:13.000Z", "updated": "2011-02-06T14:16:13.000Z", "title": "The generating function of the $σ_1$ function", "authors": [ "Jingbo Wang" ], "comment": "5 pages, 1 figure", "categories": [ "math.NT" ], "abstract": "In this paper, we give a generate function for the $\\sigma_1$ function. Then we find some connections between the $\\sigma_1$ function and the Ramanujan's tau function. We hope this connection will give some insights into the unsolved problems in classical number theory.", "revisions": [ { "version": "v1", "updated": "2011-02-06T14:16:13.000Z" } ], "analyses": { "subjects": [ "11A25" ], "keywords": [ "generating function", "ramanujans tau function", "classical number theory", "generate function", "connection" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1102.1155W" } } }