Evaluations for zeta(2),zeta(4),...,zeta(2k)based on the WZ method

Details Evaluations for zeta(2),zeta(4),...,zeta(2k)based on the WZ method Evaluations for zeta(2),zeta(4),...,zeta(2k)based on the WZ method

2012-04-18

arxiv.org/abs/1204.4162v1

Mathematics

Combinatorics

8 pages

Scientific paper

Based on the framework of the WZ theory, a new evaluation for $\varsigma (2)
= \frac{\pi ^2}{6}$ and $\varsigma (4) = \frac{\pi ^4}{90}$ was given
respectively, finally, a new recurrence formula for $\varsigma (2k)$ was given.

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