Find p-adic norm of |3/4|_2
The p-adic norm of xxx :
∣x∣p=p−a|x|_p=p^{-a}∣x∣p=p−a
where ppp is a prime number, aaa is a unique integer.
Then:
34=3⋅2−2\frac{3}{4}=3\cdot2^{-2}43=3⋅2−2
∣34∣2=22=4|\frac{3}{4}|_2=2^2=4∣43∣2=22=4
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