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Results tagged with inverse-series
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user 5091
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Is $\sigma(n)$ has explicit compositional inverse formula since it has series representation?
Yes. Since the Dirichlet series generating function for $\sigma_x$ is $\zeta(s)\zeta(s-x)$, its Dirichlet-convolution inverse is given by the coefficients of
$$
\frac1{\zeta(s)\zeta(s-x)} = \prod_p \b …
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