Dirichlet series inversion
= Dirichlet series inversion
{wiki=Dirichlet_series_inversion}
Dirichlet series inversion is a method in analytic number theory that relates Dirichlet series and arithmetic functions. A Dirichlet series is a series of the form \\\[ F(s) = \\sum_\{n=1\}^\\infty \\frac\{a(n)\}\{n^s\} \\\] where \\( a(n) \\) represents a sequence of complex numbers and \\( s \\) is a complex variable.