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 |