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Two q-supercongruences from Watson’s transformation
- Source :
- Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas; January 2022, Vol. 116 Issue: 1
- Publication Year :
- 2022
-
Abstract
- Guo and Zudilin (Adv Math, 346: 329–358, 2019) introduced a new method called ‘creative microscoping’, to prove many q-supercongruences in a unified way. In this paper, we apply this method and Watson’s 8ϕ7transformation formula to prove two q-supercongruences, which were recently conjectured by Guo and Schlosser.
Details
- Language :
- English
- ISSN :
- 15787303 and 15791505
- Volume :
- 116
- Issue :
- 1
- Database :
- Supplemental Index
- Journal :
- Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Publication Type :
- Periodical
- Accession number :
- ejs58135999
- Full Text :
- https://doi.org/10.1007/s13398-021-01172-7