{ "id": "2006.00496", "version": "v1", "published": "2020-05-31T11:39:16.000Z", "updated": "2020-05-31T11:39:16.000Z", "title": "Combinatorial interpretations of two identities of Guo and Yang", "authors": [ "Mircea Merca" ], "categories": [ "math.CO" ], "abstract": "The restricted partitions in which the largest part is less than or equal to $N$ and the number of parts is less than or equal to $k$ were investigated by Andrews in \\cite{Andrews76}. These partitions were extended recently by the author to the partitions into parts of two kinds. In this paper, we use a new class of restricted partitions into parts of two kinds to provide new combinatorial interpretations for two identities of Guo and Yang.", "revisions": [ { "version": "v1", "updated": "2020-05-31T11:39:16.000Z" } ], "analyses": { "subjects": [ "11P81", "11P83", "05A17" ], "keywords": [ "combinatorial interpretations", "identities", "restricted partitions", "largest part" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }