{ "id": "2102.02373", "version": "v1", "published": "2021-02-04T02:19:15.000Z", "updated": "2021-02-04T02:19:15.000Z", "title": "Moments of central values of quartic Dirichlet $L$-functions", "authors": [ "Peng Gao", "Liangyi Zhao" ], "comment": "10 pages", "categories": [ "math.NT" ], "abstract": "In this paper, we study moments of the central values of quartic Dirichlet $L$-functions and establish quantitative non-vanishing result for these $L$-values.", "revisions": [ { "version": "v1", "updated": "2021-02-04T02:19:15.000Z" } ], "analyses": { "subjects": [ "11A15", "11L05", "11M06", "11N37" ], "keywords": [ "central values", "quartic dirichlet", "study moments" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }