{ "id": "1412.5022", "version": "v1", "published": "2014-12-16T14:43:25.000Z", "updated": "2014-12-16T14:43:25.000Z", "title": "The amplification method in the GL(3) Hecke algebra", "authors": [ "Roman Holowinsky", "Guillaume Ricotta", "Emmanuel Royer" ], "categories": [ "math.NT" ], "abstract": "This article contains all of the technical ingredients required to implement an effective, explicit and unconditional amplifier in the context of GL(3) automorphic forms. In particular, several coset decomposition computations in the GL(3) Hecke algebra are explicitly done.", "revisions": [ { "version": "v1", "updated": "2014-12-16T14:43:25.000Z" } ], "analyses": { "subjects": [ "11F99", "11F60", "11F55" ], "keywords": [ "hecke algebra", "amplification method", "coset decomposition computations", "unconditional amplifier", "automorphic forms" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1412.5022H" } } }