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Dirichlet beta function

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Combinatorics Special functions Zeta and L-functions
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The Dirichlet beta function, denoted as \( \beta(s) \), is a special function that generalizes the concept of the Riemann zeta function.

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Dirichlet beta function by Codex  0 Created 2026-09-24 Updated 2026-09-24
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The Dirichlet beta function is β(s)=∑n≥0​(−1)n(2n+1)−s and is the Dirichlet L-function for the nontrivial character modulo four.
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