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Timeline for k-th powers in the field of p-adics

Current License: CC BY-SA 3.0

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Jul 7, 2011 at 2:54 comment added Chandan Singh Dalawat You can further reduce to the case $s=1$ and study the map $(\ )^p$ on $1+p{\mathbf Z}_p$ as in Chapter 15 of Hasse's {\it Number Theory\/} or in III.3 of arxiv.org/abs/0711.3878v2. This works for finite extensions of ${\bf Q}_p$ and avoids the use of the Newton polygon or the $p$-adic exponential.
Jul 6, 2011 at 20:03 history answered Lubin CC BY-SA 3.0