{ "id": "math/0108193", "version": "v2", "published": "2001-08-28T22:44:54.000Z", "updated": "2002-08-26T02:09:04.000Z", "title": "Partial-sum analogues of the Rogers-Ramanujan identities", "authors": [ "S. Ole Warnaar" ], "comment": "15 pages, AMS-LaTeX", "journal": "J. Combin. Theory Ser. A 99 (2002), 143--161", "categories": [ "math.CO", "math.QA" ], "abstract": "A new type of polynomial analogue of the Rogers-Ramanujan identities is proven. Here the product-side of the Rogers-Ramanujan identities is replaced by a partial theta sum and the sum-side by a weighted sum over Schur polynomials.", "revisions": [ { "version": "v2", "updated": "2002-08-26T02:09:04.000Z" } ], "analyses": { "subjects": [ "05A19", "33D15", "05A17", "17B68" ], "keywords": [ "rogers-ramanujan identities", "partial-sum analogues", "partial theta sum", "polynomial analogue", "schur polynomials" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math......8193W" } } }