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ON A CASE OF ALL PAIRS OF POLYNOMIAL ZEROS BAD

  • Published : 2003.10.01

Abstract

In this paper, we show, for a positive integer m and a large odd integer n, the polynomial equation (equation omitted) has a real zero on $((n+1)^{1+\frac{1}{m}},{\;}(n+1)^{1+\frac{1}{m}}+{\frac{1}{2}})$ and $((n+1)^{1+\frac{1}{m}}+{\frac{1}{2}},{\;}(n+2)^{1+\frac{1}{m}})$ respectively.

Keywords

zero;polynomial;bad pair;good pair

References

  1. Commun. Korean Math. Soc. v.15 no.4 Bad pairs of polynomial zeros S.H.Kim
  2. Pacific J. Math. v.89 On the zeros of convex combinations of polynomials H.J.Fell https://doi.org/10.2140/pjm.1980.89.43
  3. Acta Appl. Math. v.73 no.3 Factorization of Sums of Polynomicals S.H.Kim https://doi.org/10.1023/A:1019770930906