On the zeros of reciprocal Littlewood polynomials

Benjamin Bedert

Let $P(z)={\sum }_{n=0}^N{a}_n{z}^n$ be a Littlewood polynomial of degree $N$, meaning that $a_n\in \{\pm 1\}$. We say that $P$ is reciprocal if $P(z)=z^{N}P(1/z)$. Borwein, Erdélyi and Litt…