Generalizations of two hypergeometric sums related to conjectures of Guo

2025/01/17 by Jana, Arijit, Karmakar, Liton
#11A07 #11D88 #33B15 #33C20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2501.10109

Abstract

In 2021, the first author and Kalita obtained two general hypergeometric formulas for sums involving certain rising factorials to prove some supercongruence conjectures of Guo related to (B.2) and (C.2). In this paper, we further generalize those formulas by using the WZ-method and the Zeilberger algorithm, respectively.

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