On the (K.2) supercongruence of Van Hamme

Author(s)
Uri
Date Issued
2016-01-01
Date Available
2018-01-01T02:00:09Z
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.
Other Sponsorship
National Science Foundation
Type of Material
Journal Article
Publisher
Elsevier
Journal
Journal of Mathematical Analysis and Applications
Volume
433
Issue
1
Start Page
706
End Page
711
Copyright (Published Version)
2015 Elsevier
Subjects

Supercongruence

Ramanujan

Wilf–Zeilberger pair

DOI
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
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Mathematics and Statistics Research Collection