On the maxima of Littlewood polynomials on $[-1,1]$

Brayden Letwin, Mehtaab Sawhney

A Littlewood polynomial is a polynomial of the form \[ f_n(x)=\sum_{k=0}^n \varepsilon_k x^k \] with ${\epsilon }_k\in \{-1,1\}$. Let $({\epsilon }_k{)}_{k\ge 0}$ be i.i.d. Rademach…