- Title
- On the (K.2) supercongruence of Van Hamme
- Creator
- Osburn, Robert; Zudilin, Wadim
- Relation
- Journal of Mathematical Analysis and Applications Vol. 433, Issue 1, p. 706-711
- Publisher Link
- http://dx.doi.org/10.1016/j.jmaa.2015.08.009
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2016
- Description
- 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.
- Subject
- supercongruence; Ramanujan; Wilf–Zeilberger pair
- Identifier
- http://hdl.handle.net/1959.13/1319811
- Identifier
- uon:23974
- Identifier
- ISSN:0022-247X
- Rights
- © 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.
- Language
- eng
- Full Text
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