Generalizations of two hypergeometric sums related to conjectures of Guo
Number Theory
2025-01-20 v1
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.
Cite
@article{arxiv.2501.10109,
title = {Generalizations of two hypergeometric sums related to conjectures of Guo},
author = {Arijit Jana and Liton Karmakar},
journal= {arXiv preprint arXiv:2501.10109},
year = {2025}
}
Comments
Submitted for publication on 16th January 2025. Comments are welcome