Coefficient-Level Böttcher Theory for Wild Superattracting Germs of Degree $p^e$

Rufei Ren

Let $p$ be an odd prime, let $e\ge 2$, and put $q=p^e$. We study the wild family \[ φ_{r,e}(x)=x^q+qp^r x^{q+1}=x^{p^e}+p^{r+e}x^{p^e+1} \qquad (r\ge0), \] and the inverse Böttcher…