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Definition 146

[0XG]For \(nβˆˆβ„€,nβ‰  0\) we define

\[ πœ‘_ p(n)=\max \{ hβˆˆβ„•, p^ h \text{ {divides} } n\} ~ ~ . \]

Let’s also define \(πœ‘_ p(0)=∞\). This \(πœ‘_ p\) is known as p-adic valuation [ 53 ] . .

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