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is there a closed form for the expression $\sum_{n \geq 1} \phi(n) x^n$ ?

Everybody knows about the Dirichlet generating function for $\phi$ but I can't find anywhere the power series generating function of $\phi$

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    $\begingroup$ doubt it ${}{}{}$ $\endgroup$ Nov 8 '19 at 0:16
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    $\begingroup$ here is a related question. $\endgroup$
    – lulu
    Nov 8 '19 at 0:17

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