P-adic numbers | Algebraic number theory
P-adic valuation
In number theory, the p-adic valuation or p-adic order of an integer n is the exponent of the highest power of the prime number p that divides n.It is denoted .Equivalently, is the exponent to which appears in the prime factorization of . The p-adic valuation is a valuation and gives rise to an analogue of the usual absolute value.Whereas the completion of the rational numbers with respect to the usual absolute value results in the real numbers , the completion of the rational numbers with respect to the -adic absolute value results in the p-adic numbers . (Wikipedia).
