{ "id": "1211.1606", "version": "v3", "published": "2012-09-23T10:17:58.000Z", "updated": "2012-11-30T20:35:24.000Z", "title": "On identities generated by compositions of positive integers", "authors": [ "Vladimir Shevelev" ], "comment": "14 pages. Adding Sections 8-10", "categories": [ "math.CO" ], "abstract": "We prove astonishing identities generated by compositions of positive integers. In passing, we obtain two new identities for Stirling numbers of the first kind. In the two last sections we clarify an algebraic sense of these identities and obtain several other structural close identities.", "revisions": [ { "version": "v3", "updated": "2012-11-30T20:35:24.000Z" } ], "analyses": { "subjects": [ "05A19" ], "keywords": [ "positive integers", "compositions", "structural close identities", "algebraic sense" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.1606S" } } }