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arXiv:1211.3149 [math.CO]AbstractReferencesReviewsResources

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

Yijun Chen

Published 2012-11-13Version 1

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.

Comments: 13 pages
Categories: math.CO, math.CA
Subjects: 05A19
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