Dirichlet series expansion?

321 Views Asked by At

When an analytic function $f(x)$ is given, we can easily obtain the coefficient of $x^n$ in a power series expansion of it. I'd like to know if there exists something similar for Dirichlet series. Is there a systematic way to get the coefficient of $n^{-x}$ when a function $f(x)$, if it can be represented as a Dirichlet series, is given?