A further common <i>q</i>-generalization of the (B.2) and (C.2) supercongruences of Van Hamme
In 2019, the author and Zudilin gave a parametric q-supercongruence, which is a common generalization of the (B.2) and (C.2) supercongruences of Van Hamme. In this paper, we further give a generalization of this q-supercongruence. As a corollary, we obtain the following supercongruence: for any prime [Formula: see text], positive integer r, and nonnegative integer [Formula: see text], [Formula: see text]
Authors
- Victor J. W. Guo (ORCID: https://orcid.org/0000-0002-4153-715X)
Institutions
- Hangzhou Normal University (CN)
Publication Details
- Journal
- International Journal of Number Theory
- Published
- 2024-09-30
- DOI
- https://doi.org/10.1142/s1793042125500290
- Citations
- 4
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 5.08