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
Referenced By
Abelian and tauberian theorems | Almost-periodic function | Almost periodic function | Analytic number theory | Dirichlet | Dirichlet eta function | Divisor function | Elementary function | Elementary functions | Euler's phi function | Euler's totient function | Euler product | Euler totient function | Eulers phi function | Generating function | Johann Peter Gustav Lejeune Dirichlet | List of functions | List of mathematical functions | List of number theory topics | Local zeta-function | Local zeta function | Mellin transform | Möbius transform | Peter Gustav Dirichlet | Peter Gustav Lejeune Dirichlet | Special function | Special functions | Tauberian theorem | Tauberian theorems | Totient | Totient function
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