S. Otake

most citedBezoutians and the discriminant of a certain quadrinomials

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.NT2018★ 1 cited

Bezoutians and the discriminant of a certain quadrinomials

Shuichi Otake, Tony Shaska

We give an explicit formula for the discriminant $Δ_{f} (x)$ of the quadrinomials of the form $f (x) = x^{n} + t (x^{2} + a x + b)$ . The proof uses Bezoutians of polynomials.

math.NT2018

Some remarks on the non-real roots of polynomials

Shuichi Otake, Tony Shaska

Let $f \in R (t) [x]$ be given by $f (t, x) = x^{n} + t \cdot g (x)$ and $β_{1} < \dots < β_{m}$ the distinct real roots of the discriminant $Δ_{(f, x)} (t)$ of $f (t, x)$ wit…