Author

Jun-Yan Liu

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Preprint Oct 2026

The WZ pair and finite congruences

We construct a meromorphic Wilf--Zeilberger pair for the hypergeometric series for \(3\ln 2\), completing the WZ proof left open by Guillera and Rogers. The same pair yields a one-parameter identity and, after a half-integer shift and differentiation, an inverse-binomial series for \(\zeta(3)\). We also study the finit...

Xiang Chen, Jun-Yan Liu, Heng-Fei Lu · 0 citations