A <i>q</i>-SUPERCONGRUENCE ARISING FROM ANDREWS’ $_4\phi _3$ IDENTITY
Abstract We establish a q -analogue of a supercongruence related to a supercongruence of Rodriguez-Villegas, which extends a q -congruence of Guo and Zeng [‘Some q -analogues of supercongruences of Rodriguez-Villegas’, J. Number Theory 145 (2014), 301–316]. The important ingredients in the proof include Andrews’ $_4\phi _3$ terminating identity.
Authors
- Jing Liu (ORCID: https://orcid.org/0000-0002-8740-4600)
- Ji-Cai Liu (ORCID: https://orcid.org/0000-0002-8618-2305)
Institutions
- Wenzhou University (CN)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2024-08-29
- DOI
- https://doi.org/10.1017/s0004972724000467
- Citations
- 1
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 1.27