{ "id": "1802.05180", "version": "v1", "published": "2018-02-14T16:10:18.000Z", "updated": "2018-02-14T16:10:18.000Z", "title": "The twelfth moment of Dirichlet $L$-functions with smooth moduli", "authors": [ "Ramon M. Nunes" ], "comment": "18 pages, coments are welcome", "categories": [ "math.NT" ], "abstract": "We prove an analogue of Heath-Brown's bound on the twelfth moment of the Riemann zeta function for Dirichlet L-functions with smooth moduli.", "revisions": [ { "version": "v1", "updated": "2018-02-14T16:10:18.000Z" } ], "analyses": { "subjects": [ "11M06", "11L05" ], "keywords": [ "smooth moduli", "twelfth moment", "riemann zeta function", "dirichlet l-functions" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }