2 problems

Linear-length Sturm-sequence conjecture. The maximal length of the Sturm sequence of a degree $2D$ tetranomial is

Let $P_n$ be a polynomial of order $n$ with $P_{n-1}=P'_n/n$, and suppose … Let $alpha^{(n-1)}{i}$, for $i=1,ldots,n-1$, be the distinct real roots of $P{n-1}$, let $Delta(Pn)$ d…