{ "id": "math/0409523", "version": "v2", "published": "2004-09-27T15:27:58.000Z", "updated": "2004-12-04T14:21:54.000Z", "title": "On the irreducibility of a truncated binomial expansion", "authors": [ "Michael Filaseta", "Angel Kumchev", "Dmitrii V. Pasechnik" ], "comment": "LaTeX, 6 pages, to appear in Rocky Mountains J. Math", "journal": "Rocky Mountains J. Math. 37(2007), 455-464", "categories": [ "math.NT", "math.RA" ], "abstract": "Let P_nk(x) denote the sum of the lowest k+1 terms in the expansion of (1+x)^n. We investigate the irreducibility of P_nk(x) and more general univariate polynomials related to it. Polynomials P_nk(x) naturally arise in Schubert calculus, see ArXiv e-print math.RT/0409329 by I.Scherbak.", "revisions": [ { "version": "v2", "updated": "2004-12-04T14:21:54.000Z" } ], "analyses": { "subjects": [ "12E05", "11C08", "11R09", "14M15", "26C10" ], "keywords": [ "truncated binomial expansion", "irreducibility", "general univariate polynomials", "schubert calculus", "e-print math" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......9523F" } } }