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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 ν p ( n ) {\displaystyle \nu _{p}(n)} . Equivalently, ν p ( n ) {\displaystyle \nu _{p}(n)} is the exponent to which p {\displaystyle p} appears in the prime factorization of n {\displaystyle n} .

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P-adic absolute value

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P-adic valuation

Nodes34
Edges33
Triples4
Avg. degree1.94
Density0.058824
Components1

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P-adic valuation

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related to Integers · 2
P-adic valuation → In, The
is a · 1
P-adic valuation → valuation and gives rise to an analogue of the usual absolute value
related to Rational numbers · 1
P-adic valuation → The

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displaystyle p-adic nu absolute valuation value numbers formula mathbb usual rational integer prime completion left frac right properties exponent defined

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P-adic valuationis avaluation and gives rise to an analogue of the usual absolute value0.90text
P-adic valuationrelated to IntegersThe0.60section
P-adic valuationrelated to IntegersIn0.60section
P-adic valuationrelated to Rational numbersThe0.60section

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