On the irreducibility of a truncated binomial expansion

Mathematics – Number Theory

Scientific paper

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

Scientific paper

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.

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