Universality theorems for zeros of random real polynomials with fixed
coefficients
Universality theorems for zeros of random real polynomials with fixed
coefficients
Consider a monic polynomial of degree $n$ whose subleading coefficients are independent, identically distributed, nondegenerate random variables having zero mean, unit variance, and finite moments of all orders, and let $m \geq 0$ be a fixed integer. We prove that such a random monic polynomial has exactly $m$ real zeros …