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math.RT2026
The modulo distinction problem for D*
Junyan Liu, Hengfei Lu
Let be a nonarchimedean local field of characteristic zero and residue characteristic . Let be a quadratic field extension of . Let be the unique quaternion divis…
math.NT2026
The WZ pair and finite congruences
Xiang Chen, Junyan Liu, Hengfei Lu
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-…