{ "id": "1310.1253", "version": "v2", "published": "2013-10-04T13:16:31.000Z", "updated": "2013-10-14T06:59:56.000Z", "title": "The fractional parts of Dedekind sums", "authors": [ "Kurt Girstmair" ], "comment": "4 pages", "categories": [ "math.NT" ], "abstract": "We show that each rational number $r$, $0\\le r<1$, occurs as the fractional part of a Dedekind sum $S(m,n)$.", "revisions": [ { "version": "v2", "updated": "2013-10-14T06:59:56.000Z" } ], "analyses": { "subjects": [ "11F20" ], "keywords": [ "fractional part", "dedekind sum" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1310.1253G" } } }