On the First Non-Universal Term in Random Polynomial Real Zeros

Phuc Lam, Oanh Nguyen

Let $P_n(x)={\sum }_{k=0}^n{\xi }_k{x}^k$ be a Kac random polynomial, where the coefficients ${\xi }_k$ are i.i.d.\ copies of a given random variable $\xi$. Based on numerical experiments, it…