Dirichlet L-function
From Number
Definition
A Dirichlet L-function is a meromorphic function obtained as the analytic continuation of the Dirichlet series of the Dirichlet character.
The corresponding Dirichlet series is termed a Dirichlet L-series, and the Dirichlet L-series as well as the function are denoted 
where 
is the character and 
is the argument.
,
where 
is the set of all prime numbers. The equality follows from the Euler product formula.
