Dirichlet Series

Dirichlet series

[‚dē·rē′klā ‚sir·ēz] (mathematics) A series whose n th term is a complex number divided by n to the z th power.

Dirichlet Series

(named for P. G. L. Dirichlet), series of the form

where the a_n are constants and s = σ + it is a complex variable. For example, the series

represents the zeta function for σ > 1. The theory of Dirichlet series originally arose under the strong influence of analytic number theory. Eventually it developed into an extensive branch in the theory of analytic functions.

单词	dirichlet series
释义	Dirichlet Series Dirichlet series [‚dē·rē′klā ‚sir·ēz] (mathematics) A series whose n th term is a complex number divided by n to the z th power. Dirichlet Series (named for P. G. L. Dirichlet), series of the form where the a_n are constants and s = σ + it is a complex variable. For example, the series represents the zeta function for σ > 1. The theory of Dirichlet series originally arose under the strong influence of analytic number theory. Eventually it developed into an extensive branch in the theory of analytic functions.
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