On the power of the discriminant of a univariate polynomial as a certain determinant in positive characteristic

Akira Kurihara

Let $p$ be a prime. Suppose that integers $r$, $e$, $d$ such that $r\ge 2$, $e\ge 0$, $0\le d\le p$ are given. Let $f(x)=s_0{x}^r+s_1{x}^{r-1}+\cdots +s_r$ be a generic poly…