Irreducibility of polynomials with random multiplicative coefficients revisited

Oleksiy Klurman, Vlad Matei

We show that for a random polynomial \[ F(X) = \sum_{n=1}^{N} f(n) X^{n-1}, \] where $f(n)$ is a random completely multiplicative function taking values in $\{\pm 1\}$, one has \[…