{ "id": "1201.3507", "version": "v2", "published": "2012-01-17T13:20:08.000Z", "updated": "2012-03-18T03:41:14.000Z", "title": "Whittaker functions associated to newforms for GL(n) over p-adic fields", "authors": [ "Michitaka Miyauchi" ], "comment": "6 pages, minor changes from first version", "categories": [ "math.RT", "math.NT" ], "abstract": "Let F be a non-archimedean local field of characteristic zero. Jacquet, Piatetski-Shapiro and Shalika introduced the notion of newforms for irreducible generic representations of GL_n(F). In this paper, we give an explicit formula for Whittaker functions associated to newforms on the diagonal matrices in GL_n(F).", "revisions": [ { "version": "v2", "updated": "2012-03-18T03:41:14.000Z" } ], "analyses": { "subjects": [ "22E50", "22E35" ], "keywords": [ "whittaker functions", "p-adic fields", "non-archimedean local field", "characteristic zero", "explicit formula" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1201.3507M" } } }