Symbols:Greek/Phi/Euler Phi Function
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Euler Phi Function
- $\map \phi n$
Let $n \in \Z_{>0}$, that is, a strictly positive integer.
The Euler $\phi$ (phi) function is the arithmetic function $\phi: \Z_{>0} \to \Z_{>0}$ defined as:
- $\map \phi n = $ the number of strictly positive integers less than or equal to $n$ which are prime to $n$
That is:
- $\map \phi n = \card {S_n}: S_n = \set {k: 1 \le k \le n, k \perp n}$
The $\LaTeX$ code for \(\map \phi n\) is \map \phi n
.