{ "id": "1212.0048", "version": "v1", "published": "2012-12-01T00:30:02.000Z", "updated": "2012-12-01T00:30:02.000Z", "title": "Strictly chained (p,q)-ary partitions", "authors": [ "Laurent Imbert", "Fabrice Philippe" ], "comment": "18 pages", "journal": "Contributions to Discrete Mathematics, Volume 5, Number 2, Pages 119-136, 2010, ISSN 1715-0868", "categories": [ "math.NT", "cs.DM", "math.CO" ], "abstract": "We consider a special type of integer partitions in which the parts of the form $p^aq^b$, for some relatively prime integers $p$ and $q$, are restricted by divisibility conditions. We investigate the problems of generating and encoding those partitions and give some estimates for several partition functions.", "revisions": [ { "version": "v1", "updated": "2012-12-01T00:30:02.000Z" } ], "analyses": { "subjects": [ "05A17" ], "keywords": [ "relatively prime integers", "partition functions", "special type", "integer partitions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1212.0048I" } } }