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Apr 9, 2020 at 12:22 comment added Asvin Thank you! That is a helpful observation.
Apr 8, 2020 at 16:36 comment added Laurent Berger A power series $f(t) \in Z_p[[t]]^\times$ can be written as $f(t) = b_0 \prod_{k \geq 1} (1-b_k t^k)$ with $b_0 \in Z_p^\times$ and $b_k \in Z_p$. Some back of the envelope calculations suggest that, if $f(t)=(1-b_k t^k)$, then it is possible that your $a_n$ converge to something like $(p-1) \log_p b_k$.
Apr 7, 2020 at 9:52 history asked Asvin CC BY-SA 4.0