Hensel's Lemma gives us a sequence $(a_n)$ of solutions of $f(a_n) \equiv 0 \pmod {p^n}$, so in particular $p^n|f(a_n)$. Is there anything known about the sequence $o_n = \frac{f(a_n)}{p^n}$?
It seemed to be related to this
Hensel's Lemma gives us a sequence $(a_n)$ of solutions of $f(a_n) \equiv 0 \pmod {p^n}$, so in particular $p^n|f(a_n)$. Is there anything known about the sequence $o_n = \frac{f(a_n)}{p^n}$?
It seemed to be related to this
I don't think this makes sense, because $a_n$ is only defined modulo $p^n$, and hence the same is true of $f(a_n)$.