{ "id": "math/0204272", "version": "v2", "published": "2002-04-23T10:00:39.000Z", "updated": "2003-02-16T15:48:27.000Z", "title": "On arrangements of real roots of a real polynomial and its derivatives", "authors": [ "Vladimir Petrov Kostov" ], "comment": "To appear in Serdica Math. J. 29 (2003)", "journal": "Serdica Math. J. 29 (2003), 65-74", "categories": [ "math.AG" ], "abstract": "We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its $s$-th derivative are realizable by real polynomials.", "revisions": [ { "version": "v2", "updated": "2003-02-16T15:48:27.000Z" } ], "analyses": { "keywords": [ "real polynomial", "real roots", "arrangements" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......4272P" } } }