p-Adic Absolute Value
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- Definition A field norm, denoted by ∣⋅∣|\cdot|∣⋅∣, on the field FFF is a function from FFF to the set of nonnegative numbers in an ordered field RRR such that (1) ∣x∣=0|x|=0∣x∣=…
By Zilin Jiang, Kada Williams, Victor Wang
- Let xxx be a rational number and ppp be a prime. x=parsx = \dfrac{p^ar}{s}x=spar for some integer aaa and integers rrr and sss not divisible by p. Then the p-adic norm of x is …
By Ajay Ajay, Victor Wang