arXiv Analytics

Sign in

arXiv:1504.01976 [math.NT]AbstractReferencesReviewsResources

On the (K.2) supercongruence of Van Hamme

Robert Osburn, Wadim Zudilin

Published 2015-04-08Version 1

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.

Comments: 6 pages
Categories: math.NT, math.CO
Subjects: 11B65, 33C20, 33F10
Related articles: Most relevant | Search more
arXiv:1011.1902 [math.NT] (Published 2010-11-08, updated 2014-02-18)
A refinement of a congruence result by van Hamme and Mortenson
arXiv:2010.13526 [math.NT] (Published 2020-10-20)
$q$-Analogues of some supercongruences related to Euler numbers
arXiv:1807.03987 [math.NT] (Published 2018-07-11)
On van Hamme's (A.2) and (H.2) supercongruences

Links

Toolbox