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Jul 8, 2014 at 10:08 vote accept Joe Bebel
Jun 28, 2014 at 22:43 comment added Lubin The lightest amendment to your definition of the $p$-adic logarithm: since the series is convergent only on the open disk $v_p(1+x)>0$, you must also specify that $\log(\zeta)=0$ for all roots of unity $\zeta$. This is automatic for $p^m$-th roots of unity, since the series gives a homomorphism (unlike the complex log series), but needs to be specified for $m$-th roots of unity with $m$ prime to $p$.
Jun 28, 2014 at 22:23 answer added Andrew Dudzik timeline score: 4
Jun 28, 2014 at 8:01 history asked Joe Bebel CC BY-SA 3.0