p-adic number

(redirected from P-adic absolute value)

p-adic number

(mathematics)
For a fixed prime number p, a fraction of the form a / p k , where a is a p-adic integer and k is a nonnegative integer; two such fractions, a / p k and b / p m , are considered equal if ap m and bp k are the same p-adic integer.
References in periodicals archive ?
r][m/n] such that m and n are coprime to the prime number p, define the p-adic absolute value [[absolute value of a].