2 problems

Let a substitution act on either the alphabet $\{0,1\}$ or the alphabet $\{-1,1\}$, and suppose its fixed point is a sequence over that alphabet. A sequence is apwenian if its Hank…

Let $f_p(z)=\prod_{i=0}^{\infty}P(z^{p^i})$, where $p\geq 2$, $P(z)=v_0+v_1z+\cdots+v_{p-1}z^{p-1}$, $v_0=1$, and $v_i\in\{-1,1\}$ for $i=1,\ldots,p-1$. Let $N_p^{\prime}$ be the n…