On the irreducibility of a truncated binomial expansion
Michael Filaseta, Angel Kumchev, Dmitrii V. Pasechnik
Abstract
Let Pnk(x) denote the sum of the lowest k+1 terms in the expansion of (1+x)n. We investigate the irreducibility of Pnk(x) and more general univariate polynomials related to it. Polynomials Pnk(x) naturally arise in Schubert calculus, see ArXiv e-print math.RT/0409329 by I.Scherbak.
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