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gobucksmath
  • Member for 7 years, 11 months
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Transcendence of the $p$-adic number $\sum_{n\ge0}a^{2^n}$
I wonder if the first two theorems in chapter 67 of Schikhof's Ultrametric Calculus would be helpful to you. They are related to $p$-adic Liouville numbers over $\mathbb{Z}_p$.