Dirichlet beta function
closely related to the Riemann zeta function
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Dirichlet beta function
Summary
Dirichlet beta function is a Dirichlet L-function[1]. It draws 26 Wikipedia views per month (dirichlet_l_function category, ranking #1 of 1).[2]
Key Facts
- Dirichlet beta function's instance of is recorded as Dirichlet L-function[3].
- Dirichlet beta function's instance of is recorded as special function[4].
- Johann Peter Gustav Lejeune Dirichlet is named after Dirichlet beta function[5].
- Dirichlet beta function's Freebase ID is recorded as /m/06wmm2[6].
- Dirichlet beta function's defining formula is recorded as \beta(s) = \sum_{n=0}^{\infty}\frac{(-1)^n}{(2n + 1)^s}[7].
- Dirichlet beta function's MathWorld ID is recorded as DirichletBetaFunction[8].
- Dirichlet beta function's maintained by WikiProject is recorded as WikiProject Mathematics[9].
- Dirichlet beta function's Microsoft Academic ID is recorded as 2779281656[10].
- Dirichlet beta function's ProofWiki ID is recorded as Definition:Dirichlet_Beta_Function[11].
- Dirichlet beta function's in defining formula is recorded as \sum_{n = 0}^{\infty}[12].
- Dirichlet beta function's in defining formula is recorded as \beta(s)[13].
Why It Matters
Dirichlet beta function draws 26 Wikipedia views per month (dirichlet_l_function category, ranking #1 of 1).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[14] It is known by 6 alternative names across languages and contexts.[15]