Category:Dirichlet Series

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This category contains results about Dirichlet Series.
Definitions specific to this category can be found in Definitions/Dirichlet Series.


Let $a_n: \N \to \C$ be an arithmetic function.


Its Dirichlet series is a complex function $f: \C \to \C$ defined by a series:

$\displaystyle \map f s = \sum_{n \mathop = 1}^\infty a_n n^{-s}$