{ "id": "math/9903020", "version": "v2", "published": "1999-03-02T14:00:38.000Z", "updated": "1999-05-08T15:02:54.000Z", "title": "Une identité en théorie des partitions", "authors": [ "Michel Lassalle" ], "comment": "20 pages, LaTeX, in French. Enlarged version, with a new section added. To appear in Journal of Combinatorial Theory, serie A", "journal": "Journal of Combinatorial Theory, Series A, 89 (2000), 270-288", "categories": [ "math.CO" ], "abstract": "We prove an identity about partitions with a very elementary formulation. We had previously conjectured this identity, encountered in the study of shifted Jack polynomials (math.CO/9901040). The proof given is using a trivariate generating function. It would be interesting to obtain a bijective proof. We present a conjecture generalizing this identity.", "revisions": [ { "version": "v2", "updated": "1999-05-08T15:02:54.000Z" } ], "analyses": { "keywords": [ "partitions", "trivariate generating function", "elementary formulation", "conjecture" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 20, "language": "fr", "license": "arXiv", "status": "editable", "adsabs": "1999math......3020L" } } }