{ "id": "math-ph/0502043", "version": "v1", "published": "2005-02-22T04:42:26.000Z", "updated": "2005-02-22T04:42:26.000Z", "title": "On the averages of characteristic polynomials from classical groups", "authors": [ "Daniel Bump", "Alex Gamburd" ], "doi": "10.1007/s00220-006-1503-1", "categories": [ "math-ph", "math.MP", "math.NT" ], "abstract": "We provide an elementary and self-contained derivation of formulae for products and ratios of characteristic polynomials from classical groups using classical results due to Weyl and Littlewood.", "revisions": [ { "version": "v1", "updated": "2005-02-22T04:42:26.000Z" } ], "analyses": { "keywords": [ "characteristic polynomials", "classical groups", "elementary", "littlewood" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Communications in Mathematical Physics", "year": 2006, "month": "Jul", "volume": 265, "number": 1, "pages": 227 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006CMaPh.265..227B" } } }