{ "id": "1810.09641", "version": "v1", "published": "2018-10-23T03:22:55.000Z", "updated": "2018-10-23T03:22:55.000Z", "title": "Moments of central values of cubic Hecke $L$-functions of $\\mathbb{Q}(i)$", "authors": [ "Peng Gao", "Liangyi Zhao" ], "comment": "15 pages", "categories": [ "math.NT" ], "abstract": "In this paper, we study moments of central values of cubic Hecke $L$-functions in $\\mathbb{Q}(i)$, and establish quantitative non-vanishing result for those values.", "revisions": [ { "version": "v1", "updated": "2018-10-23T03:22:55.000Z" } ], "analyses": { "keywords": [ "central values", "cubic hecke", "study moments" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }