{ "id": "math/0410060", "version": "v1", "published": "2004-10-04T18:52:38.000Z", "updated": "2004-10-04T18:52:38.000Z", "title": "On proportional constants of the mean value of class numbers of quadratic extensions", "authors": [ "Takashi Taniguchi" ], "comment": "8 pages, AMS LaTeX", "categories": [ "math.NT" ], "abstract": "In this article, we slightly refine the mean value theorem for the class number of quadratic extensions obtained by Goldfeld-Hoffstein and Datskovsky. We determine all the proportional constants of the mean value with respect to the local conditions including dyadic places.", "revisions": [ { "version": "v1", "updated": "2004-10-04T18:52:38.000Z" } ], "analyses": { "subjects": [ "11S90" ], "keywords": [ "class number", "quadratic extensions", "proportional constants", "mean value theorem", "dyadic places" ], "note": { "typesetting": "LaTeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....10060T" } } }