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

Yijun Chen

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 $ς(2k…