{ "id": "1001.1571", "version": "v2", "published": "2010-01-11T01:02:50.000Z", "updated": "2010-01-22T01:54:51.000Z", "title": "Dedekind's eta-function and Rogers-Ramanujan identities", "authors": [ "S. Ole Warnaar", "Wadim Zudilin" ], "comment": "14 pages", "journal": "Bulletin of the London Mathematical Society 44 (2012), 1-11", "doi": "10.1112/blms/bdr019", "categories": [ "math.CO", "math.NT", "math.QA" ], "abstract": "We prove a q-series identity that generalises Macdonald's A_{2n}^{(2)} eta-function identity and the Rogers-Ramanujan identities. We conjecture our result to generalise even further to also include the Andrews-Gordon identities.", "revisions": [ { "version": "v2", "updated": "2010-01-22T01:54:51.000Z" } ], "analyses": { "subjects": [ "05A19", "05E05", "11F20", "33D67" ], "keywords": [ "rogers-ramanujan identities", "dedekinds eta-function", "q-series identity", "andrews-gordon identities" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }