{ "id": "2004.00504", "version": "v1", "published": "2020-03-31T08:46:31.000Z", "updated": "2020-03-31T08:46:31.000Z", "title": "The fourth moment of Dirichlet L-functions", "authors": [ "Xiaosheng Wu" ], "comment": "63 pages, any comments are welcome. arXiv admin note: text overlap with arXiv:math/0610335 by other authors", "categories": [ "math.NT" ], "abstract": "We compute the fourth moment of Dirichlet $L$-functions averaged over primitive characters to modulus $q$ and over $t\\in [0,T]$, with a power savings in the error term.", "revisions": [ { "version": "v1", "updated": "2020-03-31T08:46:31.000Z" } ], "analyses": { "subjects": [ "11M26", "11M06" ], "keywords": [ "fourth moment", "dirichlet l-functions", "power savings", "error term" ], "note": { "typesetting": "TeX", "pages": 63, "language": "en", "license": "arXiv", "status": "editable" } } }