A New Formula for The Values of Dirichlet Beta Function at Odd Positive Integers Based on The WZ Method

Published 13 Nov 2012 in math.CO and math.CA | (1211.3149v1)

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.

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Yijun Chen

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