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Some q-supercongruences from a q-analogue of Watson's 3 F 2 summation

  • Victor J. W. Guo ORCID logo EMAIL logo
Published/Copyright: March 26, 2024

Abstract

We give some q-supercongruences from a q-analogue of Watson’s F 2 3 summation and the method of “creative microscoping”, introduced by the author and Zudilin. These q-supercongruences may be considered as further generalizations of the (A.2) supercongruence of Van Hamme modulo p 3 or p 2 for any odd prime p. Meanwhile, we confirm a supercongruence conjecture of Wang and Yue through establishing its q-analogue.

MSC 2020: 33D15; 11A07; 11B65

Communicated by Freydoon Shahidi


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Received: 2023-12-26
Revised: 2024-03-05
Published Online: 2024-03-26
Published in Print: 2025-02-01

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