Dirichlet series

In mathematics, a Dirichlet series, one of a number of concepts named in honor of Johann Peter Gustav Lejeune Dirichlet, is a series of the form

The most famous of Dirichlet series is

which is the Riemann zeta function.

Other Dirichlet series are:

where μ(n) is the Möbius function,

where φ(n) is the totient function, and

where σ_a(n) is the divisor function.

See also

• Dirichlet