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

2012/11/13 by Yijun Chen, Chen, Yijun
Mathematics · #05A19 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #math.CA #math.CO #msc:05A19

paper · pdf · doi:10.48550/arxiv.1211.3149

13 pages

arxiv created 2012/11/13 · arxiv updated 2012/11/15

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 β(s) = ∑_{n = 1}^{+ ∞} \frac(-1)^{n - 1}(2n - 1)^s (where Re(s) > 0) at odd positive integers was given.

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