 General Dirichlet series

A General Dirichlet series is a type of series that is often studied in number theory and complex analysis. A Dirichlet series is a series of the form: \[ D(s) = \sum_{n=1}^{\infty} a_n n^{-s} \] where \( s \) is a complex variable, \( a_n \) are complex coefficients, and \( n \) runs over positive integers.