The Euler totient function is defined as ϕ (m) = |{k : 1 ≤ k ≤ m gcd(k, m) = 1}|, or rather the number of relatively prime positive integers smaller than or equal to m. The Task is to conclude if : X = z1p1,z2p2 , ........., zkPk THEN, ϕ(x) = x (1 - 1/p1), (1 - 1/p2),....., (1 - 1/P)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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 The Euler totient function is defined as ϕ (m) = |{k : 1 ≤ k ≤ m gcd(k, m) = 1}|,  or rather the number of relatively prime positive integers smaller than or equal to m.  

The Task is to conclude if : X = z1p1,z2p2  , .........,  zkPk    THEN,

                        ϕ(x) = x (1 - 1/p1), (1 - 1/p2),....., (1 - 1/P) 

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