{ "id": "1009.3990", "version": "v1", "published": "2010-09-21T03:37:52.000Z", "updated": "2010-09-21T03:37:52.000Z", "title": "A result of Lemmermeyer on class numbers", "authors": [ "Paul Monsky" ], "comment": "4 pages", "categories": [ "math.NT" ], "abstract": "I present Franz Lemmermeyer's proof that if p is a prime congruent to 9 mod 16 then the class number of Q(p^(1/4)) is congruent to 2 mod 4.", "revisions": [ { "version": "v1", "updated": "2010-09-21T03:37:52.000Z" } ], "analyses": { "keywords": [ "class number", "franz lemmermeyers proof", "prime congruent" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1009.3990M" } } }