{ "id": "1505.02150", "version": "v1", "published": "2015-05-08T19:45:58.000Z", "updated": "2015-05-08T19:45:58.000Z", "title": "Bilinear forms with $GL_3$ Kloosterman sums and the spectral large sieve", "authors": [ "Matthew P. Young" ], "comment": "20 pages", "categories": [ "math.NT" ], "abstract": "We analyze certain bilinear forms involving $GL_3$ Kloosterman sums. As an application, we obtain an improved estimate for the $GL_3$ spectral large sieve inequality.", "revisions": [ { "version": "v1", "updated": "2015-05-08T19:45:58.000Z" } ], "analyses": { "subjects": [ "11L05", "11F72" ], "keywords": [ "kloosterman sums", "bilinear forms", "spectral large sieve inequality", "application" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150502150Y" } } }