{ "id": "math/0312180", "version": "v2", "published": "2003-12-09T08:25:06.000Z", "updated": "2004-10-14T13:05:12.000Z", "title": "The Laplace transform of the fourth moment of the zeta-function", "authors": [ "Aleksandar Ivić" ], "comment": "8 pages", "journal": "Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 11(2000), 41-48", "categories": [ "math.NT" ], "abstract": "The Laplace transform of $|\\zeta(1/2+it)|$ is investigated, for which a precise expression is obtained, valid in a certain region in the complex plane. The method of proof is based on complex integration and spectral theory of the non-Euclidean Laplacian.", "revisions": [ { "version": "v2", "updated": "2004-10-14T13:05:12.000Z" } ], "analyses": { "subjects": [ "11M06", "11F72", "11F66" ], "keywords": [ "laplace transform", "fourth moment", "zeta-function", "non-euclidean laplacian", "precise expression" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....12180I" } } }