{ "id": "1212.1733", "version": "v1", "published": "2012-12-07T22:42:16.000Z", "updated": "2012-12-07T22:42:16.000Z", "title": "Notes on the divisibility of the class numbers of certain imaginary quadratic fields", "authors": [ "Akiko Ito" ], "comment": "27 pages", "categories": [ "math.NT" ], "abstract": "In this paper, we construct certain infinite families of imaginary quadratic fields whose class number is divisible by a given positive integer.", "revisions": [ { "version": "v1", "updated": "2012-12-07T22:42:16.000Z" } ], "analyses": { "subjects": [ "11R11", "11R29" ], "keywords": [ "imaginary quadratic fields", "class number", "divisibility", "infinite families" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1212.1733I" } } }