Daniel Tarnu

The Rudin-Shapiro polynomials $p_{m}$ were first studied by Rudin, Shapiro, and Golay independently nearly 80 years ago and are defined recursively by $p_{0}(x) = q_{0}(x) = 1$ and $$ p_{m}(x) = p_{m-1}(x) + x^{2^{m-1}} q_{m-1}(x), $$ $$ q_{m}(x) = p...