Euler totient

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Euler's totient function $\phi \colon \{1,2,3,\ldots\} \rightarrow \{1,2,3,\ldots\}$ (not to be confused with the Euler phi) is defined so that $\phi(n)$ equals the number of positive integers less than or equal to $n$ that are relatively prime to $n$.


Sum of totient equals zeta(z-1)/zeta(z) for Re(z) greater than 2
Sum of totient equals z/((1-z) squared)
Product representation of totient
Euler totient is multiplicative


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