{ "id": "math/9911264", "version": "v1", "published": "1999-11-01T00:00:00.000Z", "updated": "1999-11-01T00:00:00.000Z", "title": "On explicit lifts of cusp forms from GL_m to classical groups", "authors": [ "David Ginzburg", "Stephen Rallis", "David Soudry" ], "comment": "60 pages, published version, abstract added in migration", "journal": "Ann. of Math. (2) 150 (1999), no. 3, 807-866", "categories": [ "math.NT" ], "abstract": "In this paper, we begin the study of poles of partial L-functions L^S(sigma tensor tau,s), where sigma tensor tau is an irreducible, automorphic, cuspidal, generic (i.e. with nontrivial Whittaker coefficient) representation of G_A x GL_m(A). G is a split classical group and A is the adele ring of a number field F. We also consider tilde{Sp}_{2n}(A) x GL_m(A), where tilde denotes the metaplectic cover.", "revisions": [ { "version": "v1", "updated": "1999-11-01T00:00:00.000Z" } ], "analyses": { "keywords": [ "cusp forms", "explicit lifts", "nontrivial whittaker coefficient", "sigma tensor tau", "split classical group" ], "tags": [ "journal article" ], "publication": { "publisher": "Princeton University and the Institute for Advanced Study", "journal": "Ann. Math." }, "note": { "typesetting": "TeX", "pages": 60, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math.....11264G" } } }