How do we show the existence of the Dirichlet Inverse of a function $f$? I know using induction that we can find a recursive form of $f^{-1}$. But I can't seem to show the existence. Any ideas? Most sites I have searched assume the existence before giving a recursive formula.
2026-03-30 14:09:31.1774879771
Existence of Dirichlet Inverse.
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