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Number Theory

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Moderate

Euler's Phi Function : Statement Verification

NUMTH-MIYBAT

Denote by $\phi(n)$ the Euler's Phi function. Determine which of the following statements are true.

Select ALL that apply.

A

$\phi$ is multiplicative.

B

$\phi$ is completely multiplicative.

C

$\phi(mn)\geq \phi(m)\phi(n)$.

D

$\phi(mn)\leq \phi(m)\phi(n)$.