{ "id": "1710.02831", "version": "v1", "published": "2017-10-08T12:47:10.000Z", "updated": "2017-10-08T12:47:10.000Z", "title": "One Level Density for Cubic Galois Number Fields", "authors": [ "Patrick Meisner" ], "comment": "18 pages", "categories": [ "math.NT" ], "abstract": "Katz and Sarnak predicted that the one level density of the zeros of a family of $L$-functions would fall into one of five categories. In this paper, we show that the one level density for $L$-functions attached to cubic Galois number fields falls into the category associated with unitary matrices.", "revisions": [ { "version": "v1", "updated": "2017-10-08T12:47:10.000Z" } ], "analyses": { "keywords": [ "level density", "cubic galois number fields falls", "unitary matrices" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }