paper

On the (K.2) supercongruence of Van Hamme

arXiv:1504.01976 · doi:10.1016/j.jmaa.2015.08.009

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.

6 pages, to appear in the Journal of Mathematical Analysis and Applications

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