We know that the $\phi(n)$ function denotes the total numbers which are co-prime to n , but like most of the mathematical concepts , can it be geometrically interpreted ? Like in terms of graph?
If yes , would it be like a normal graph of a function? Could we use more geometrical tools like finding it's slope , maximum and minimum etc. ??
Edit : This question doesn't merely imply the possibility of the graph of the function , but to relate to the geometric interpretation and if possible , to use geometric means to find some characteristic properties of the function.
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$\begingroup$$\phi$ is not a continuous function of a continuous variable. Interpolating its values to make a continuous function does not make much sense, nor is it very enlightening.
(image from wikimedia)
$\endgroup$ 2 $\begingroup$This is how the graph looks like. Indeed this graph is discrete because $\phi(n)$ is an arithmetic function.
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