Some q -supercongruences modulo the product of cyclotomic polynomials
Author:
- 25 November 2025
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Number Theory
- Vol. 22 (02) , 319-325
Abstract
In this paper, we give some q-supercongruences modulo the product of cyclotomic polynomials with the help of “creative microscoping”, introduced by [V. J. W. Guo and W. Zudilin, A q-microscope for supercongruences, Adv. Math. 346 (2019) 329–358]. Meanwhile, we confirm two supercongruences conjectures of Wei through establishing their q-analogs. For example, we obtain that [ ] where p is a prime with [ ].Keywords
Funding Information
- National Natural Science Foundations of China (12371004)
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