통합자연과학논문집 (Journal of Integrative Natural Science)

조선대학교 기초과학연구원 (The Basic Science Institute Chosun University)
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Irreducibility of Certain Quadrinomials

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

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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