Dirichlet Series

Definition

A Dirichlet series is a series of the form

n=1anns

where an is a sequence of complex numbers.

Examples of Dirichlet series' include the Riemann zeta function and the Dirichlet L-function.

Dirichlet series involving many different arithmetic functions are studied in analytic number theory, including with the divisor function, von Mangoldt function and mobius function