Wilf-Zeilberger seeds and non-trivial hypergeometric identities

Published 21 Dec 2023 in math.CO, math.CA, and math.NT | (2312.14051v4)

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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Kam Cheong Au

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