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Everything about Dirichlet beta function
Special mathematical function
In mathematics, the Dirichlet beta function is a special function, closely related to the Riemann zeta function. It is a particular Dirichlet L-function, the L-function for the alternating character of period four. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Dirichlet beta functionA 5-minute orientation
- Skim a recent paper: On the generalized Dirichlet beta and Riemann zeta functions and Ramanujan-type formulae for beta and zeta valuesInfluential work since 2022
- Pick up a classic book: Mathematical Methods in the Physical SciencesThe most-reprinted book on the subject
- Read the landmark paper: On New Representations of the Values of the Dirichlet Beta Function at Even PointsCited 3 times
- Go sideways: Clausen functionA closely related topic
- Go sideways: Polygamma functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
On New Representations of the Values of the Dirichlet Beta Function at Even Points
Increasing property and logarithmic convexity concerning Dirichlet beta function, Euler numbers, and their ratios
Values of the Riemann Zeta Function and the Dirichlet Beta Function at Positive Integer Points and Multiple Numerical Series
Alternating series in terms of Riemann zeta function and Dirichlet beta function
Strong q -analogues for values of the Dirichlet beta function
On the Values of the Riemann Zeta Function and the Dirichlet Beta Function at Positive Integer Points
ON ZETA AND DIRICHLET BETA FUNCTION FAMILIES AS GENERATORS OF GENERALIZED MATHIEU SERIES, PROVIDING APPROXIMATION AND BOUNDS
New Inequalities Involving the Dirichlet Beta and Euler’s Gamma Functions
🆕 Influential since 2022
📚 Books worth reading
Mathematical Methods in the Physical SciencesMary L. Boas, Mary Layne Boas · 1966
Neural Information ProcessingTingwen Huang · 2012
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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