Category:Dirichlet Eta Function

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This category contains results about the Dirichlet $\eta$ function.
Definitions specific to this category can be found in Definitions/Dirichlet Eta Function.

The Dirichlet $\eta$ (eta) function is the complex function defined on the half-plane $\map \Re s > 0$ as the series:

$\ds \map \eta s = \sum_{n \mathop = 1}^\infty \paren {-1}^{n - 1} n^{-s}$