{ "id": "math/0607202", "version": "v3", "published": "2006-07-07T15:47:39.000Z", "updated": "2018-12-22T20:18:11.000Z", "title": "Some more identities of the Rogers-Ramanujan type", "authors": [ "Douglas Bowman", "James Mc Laughlin", "Andrew V. Sills" ], "comment": "16 pages", "journal": "The Ramanujan Journal Volume 18, Issue 3 (2009), Page 307", "categories": [ "math.NT", "math.CO" ], "abstract": "In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.", "revisions": [ { "version": "v2", "updated": "2006-07-08T18:17:23.000Z", "abstract": "In this we paper we prove several new identities of the Rogers-Ramanujan type. These identities were found as the result of a computer search. The proofs involve a variety of techniques, including constant-term methods, a theorem of Watson on basic hypergeometric series and the method of $q$-difference equations. We briefly consider some related partition identities related to two of these identities.", "comment": "24 pages. Updated in response to comments concerning one of the identities", "journal": null, "doi": null, "authors": [ "Douglas Bowman", "James Mc Laughlin" ] }, { "version": "v3", "updated": "2018-12-22T20:18:11.000Z" } ], "analyses": { "subjects": [ "33D15", "05A17", "05A19", "11B65", "11P81", "33F10" ], "keywords": [ "rogers-ramanujan type", "basic hypergeometric series", "computer search", "constant-term methods", "difference equations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......7202B" } } }