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On the (K.2) supercongruence of Van Hamme

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posted on 2025-05-11, 11:33 authored by Robert Osburn, Wadim Zudilin
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.

History

Journal title

Journal of Mathematical Analysis and Applications

Volume

433

Issue

1

Pagination

706-711

Publisher

Academic Press

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

Rights statement

© 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/.

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    Keywords

    supercongruenceRamanujanWilf–Zeilberger pair

    Licence

    CC BY-NC-ND 4.0

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