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Irreducibility of Certain Quadrinomials

  • 투고 : 2014.12.03
  • 심사 : 2014.12.25
  • 발행 : 2014.12.31

초록

We investigate irreducibility of the quadrinomial $F_m(x)=x^{2m}-x^{m+1}-x^{m-1}-1$ where m is an even integer ${\geq}2$ using only basic techniques that can be often used in many classes of polynomials.

키워드

참고문헌

  1. S. H. Kim, "The analogues of some binomial coefficients", Indian J. Pure Ap. Mat., Vol. 34, pp. 1771-1784, 2003.
  2. W. H. Mills, "The factorization of certain quadrinomials", Math. Scand., Vol. 57, pp. 44-50, 1985. https://doi.org/10.7146/math.scand.a-12105