English

Bezoutians and the discriminant of a certain quadrinomials

Number Theory 2019-05-07 v1

Abstract

We give an explicit formula for the discriminant Δf(x)\Delta_f (x) of the quadrinomials of the form f(x)=xn+t(x2+ax+b)f (x)=x^n+ t (x^2+ax+b). The proof uses Bezoutians of polynomials.

Keywords

Cite

@article{arxiv.1806.09008,
  title  = {Bezoutians and the discriminant of a certain quadrinomials},
  author = {Shuichi Otake and Tony Shaska},
  journal= {arXiv preprint arXiv:1806.09008},
  year   = {2019}
}