Some $q$-supercongruences for double and triple basic hypergeometric series
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- by Chuanan Wei and Chun Li;
- Proc. Amer. Math. Soc. 152 (2024), 2283-2296
- DOI: https://doi.org/10.1090/proc/16623
- Published electronically: April 18, 2024
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Abstract:
In terms of the creative microscoping method, El Bachraoui’s lemmas, and the Chinese remainder theorem for coprime polynomials, we establish some $q$-supercongruences for double and triple basic hypergeometric series. Several related conjectures are also proposed for further research.References
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Bibliographic Information
- Chuanan Wei
- Affiliation: School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, People’s Republic of China; and School of Biomedical Information and Engineering, Hainan Medical University, Haikou 571199, People’s Republic of China
- MR Author ID: 830131
- Email: weichuanan78@163.com
- Chun Li
- Affiliation: School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, People’s Republic of China; and Key Laboratory of Data Science and Intelligence Education of Ministry of Education, Hainan Normal University, Haikou 571158, People’s Republic of China
- Email: lichun@hainnu.edu.cn
- Received by editor(s): March 26, 2023
- Received by editor(s) in revised form: June 13, 2023, and July 7, 2023
- Published electronically: April 18, 2024
- Additional Notes: The work was supported by Hainan Provincial Natural Science Foundations of China (Nos. 823RC487 and 124RC511) and the National Natural Science Foundation of China (No. 12071103)
The second author is the corresponding author - Communicated by: Mourad Ismail
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 2283-2296
- MSC (2020): Primary 11A07, 11B65
- DOI: https://doi.org/10.1090/proc/16623