On the irreducibility of a truncated binomial expansion
Number Theory
2007-06-13 v2 Rings and Algebras
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.
Cite
@article{arxiv.math/0409523,
title = {On the irreducibility of a truncated binomial expansion},
author = {Michael Filaseta and Angel Kumchev and Dmitrii V. Pasechnik},
journal= {arXiv preprint arXiv:math/0409523},
year = {2007}
}
Comments
LaTeX, 6 pages, to appear in Rocky Mountains J. Math