A New Formula for The Values of Dirichlet Beta Function at Odd Positive Integers Based on The WZ Method
classification
🧮 math.CO
math.CA
keywords
betadirichletformulafunctionintegerspositivevaluesfrac
read the original abstract
By using the related results in the WZ theory, a new (as far as I know) formula for the values of Dirichlet beta function $\beta (s) = \sum\limits_{n = 1}^{+ \infty} {\frac{(-1)^{n - 1}}{(2n - 1)^s}} $ (where $Re(s) > 0$) at odd positive integers was given.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.