Rudin-Shapiro function along irreducible polynomials over finite fields

László Mérai

Let $q$ be an odd prime power and ${\mathbb{F}}_q$ be the finite field of $q$ elements. We define the Rudin-Shapiro function $R$ on monic polynomials $f=t^n+f_{n-1}t^{n-1}+\dots + f_…