p-adic absolute value

Meaning

A norm for the rational numbers, with some prime number p as parameter, such that any rational number of the form p^k(a/b) — where a, b and k are integers and a, b and p are coprime — is mapped to the rational number p^-k and 0 is mapped to 0. (Note: any nonzero rational number can be reduced to such a form.)

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