On the (K.2) supercongruence of Van Hamme
Number Theory
2021-02-04 v2 Combinatorics
Abstract
We prove the last remaining case of the original 13 Ramanujan-type supercongruence conjectures due to Van Hamme from 1997. The proof utilizes classical congruences and a WZ pair due to Guillera. Additionally, we mention some future directions concerning this type of supercongruence.
Keywords
Cite
@article{arxiv.1504.01976,
title = {On the (K.2) supercongruence of Van Hamme},
author = {Robert Osburn and Wadim Zudilin},
journal= {arXiv preprint arXiv:1504.01976},
year = {2021}
}
Comments
6 pages, to appear in the Journal of Mathematical Analysis and Applications