Wilf-Zeilberger seeds and non-trivial hypergeometric identities

Kam Cheong Au

Wilf-Zeilberger seeds and non-trivial hypergeometric identities

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arxiv 2312.14051 v4 pith:TUWLQ3NC submitted 2023-12-21 math.CO math.CAmath.NT

Kam Cheong Au This is my paper · ORCID

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keywords hypergeometricidentitiesapproachconjecturesformulasgeneratingguilleraincluding

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abstract

Through a systematic approach on generating Wilf-Zeilberger-pairs, we prove some hypergeometric identities conjectures due to Z.W. Sun, J. Guillera and Y. Zhao etc., including two Ramanujan-$1/\pi^4$, one $1/\pi^3$ formulas as well as a remarkable series for $\zeta(5)$.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Fast Ramanujan-type Series for Logarithms. Part I
math.NT 2025-06 conditional novelty 7.0 of 10

The paper introduces new, mostly proven hypergeometric series for log 2, log 3, and log 5 with lower binary splitting costs than Machin-type formulas, plus a variable-p family.

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