On the irreducibility of a truncated binomial expansion

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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.
LaTeX, 6 pages, to appear in Rocky Mountains J. Math

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Number Theory, Rings and Algebras, 12E05 (Primary) 11C08, 11R09, 14M15, 26C10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/130620

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409523
 http://arxiv.org/abs/math/0409523
 Rocky Mountains J. Math. 37(2007), 455-464

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arXiv