Category:Dirichlet Beta Function

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This category contains results about the Dirichlet beta function.

The Dirichlet beta function $\beta$ is the complex function defined on the half-plane $\map \Re s > 0$ by the series:

$\ds \map \beta s = \sum_{n \mathop = 0}^\infty \frac {\paren {-1}^n} {\paren {2 n + 1}^s}$