Let $w$ be a word of length $k$ on binary alphabet$\{0,1\}$ with $p(0)=p$, $p(1)=q$, and $p>q$. How would you calculate this sum? (exact or up to the first order) $$\sum_{w,w^{'}}(p(w)+p(w^{'})-p(w)p(w^{'}))^{-s}$$
Where $s$ is a complex number.
2026-02-22 23:34:29.1771803269
Sum over binary words of length $k$.
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