{ "id": "math/0512093", "version": "v1", "published": "2005-12-05T06:38:20.000Z", "updated": "2005-12-05T06:38:20.000Z", "title": "A New Tower of Rankin-Selberg Integrals", "authors": [ "David Ginzburg", "Joseph Hundley" ], "comment": "9 pages, LaTeX", "categories": [ "math.NT", "math.RT" ], "abstract": "This document describes the authors' current research project: the evaluation of a tower of Rankin-Selberg integrals on the group E_6. We recall the notion of a tower, and two known towers, making observations about how the integrals within a tower may be related to one another via formal manipulations, and offering a heuristic for how the L-functions should be related to one another when the integrals are related in this way. A detailed description of the E_6 tower is then given.", "revisions": [ { "version": "v1", "updated": "2005-12-05T06:38:20.000Z" } ], "analyses": { "subjects": [ "32N10" ], "keywords": [ "rankin-selberg integrals", "current research project", "formal manipulations", "evaluation", "making observations" ], "note": { "typesetting": "LaTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....12093G" } } }