Finding congruences with the WZ method
Combinatorics
2025-06-25 v1
Abstract
We utilize the Wilf-Zeilberger (WZ) method to establish congruences related to truncated Ramanujan-type series. By constructing hypergeometric terms with Gosper-summable differences and selecting appropriate parameters, we derive several congruences modulo and for primes . For instance, we prove that for any prime , and These results partially confirm conjectures by Sun and provide some novel congruences.
Cite
@article{arxiv.2506.19221,
title = {Finding congruences with the WZ method},
author = {Li-Quan Feng and Qing-Hu Hou},
journal= {arXiv preprint arXiv:2506.19221},
year = {2025}
}