{ "id": "0903.4008", "version": "v1", "published": "2009-03-24T03:39:20.000Z", "updated": "2009-03-24T03:39:20.000Z", "title": "A note on the fourth moment of Dirichlet L-functions", "authors": [ "H. M. Bui", "D. R. Heath-Brown" ], "comment": "8 pages", "journal": "Acta Arith. 141 (2010), 335-344", "categories": [ "math.NT" ], "abstract": "We prove an asymptotic formula for the fourth power mean of Dirichlet L-functions averaged over primitive characters to modulus q and over t\\in [0,T] which is particularly effective when q \\ge T. In this range the correct order of magnitude was not previously known.", "revisions": [ { "version": "v1", "updated": "2009-03-24T03:39:20.000Z" } ], "analyses": { "keywords": [ "fourth moment", "fourth power mean", "correct order", "asymptotic formula", "dirichlet l-functions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }