{ "id": "1511.02829", "version": "v1", "published": "2015-11-09T20:23:26.000Z", "updated": "2015-11-09T20:23:26.000Z", "title": "New hook-content formulas for strict partitions", "authors": [ "Guo-Niu Han", "Huan Xiong" ], "comment": "15 pages", "categories": [ "math.CO" ], "abstract": "We introduce the difference operator for functions defined on strict partitions and prove a polynomiality property for a summation involving the hook length and content statistics. As an application, several new hook-content formulas for strict partitions are derived.", "revisions": [ { "version": "v1", "updated": "2015-11-09T20:23:26.000Z" } ], "analyses": { "subjects": [ "05A15", "05A17", "05A19", "05E05", "05E10", "11P81" ], "keywords": [ "strict partitions", "hook-content formulas", "difference operator", "polynomiality property", "hook length" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151102829H" } } }