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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 σa(n) is the divisor function.

See also