3 papers
math.NT2026
A supercongruence related to Whipple's formula and Dwork's dash operation
Chen Wang, He-Xia Ni
We establish a parametric supercongruence related to Whipple's formula and Dwork's dash operation. As a typical consequence, we obtain the following result: for any prime…
math.NT2025
On some conjectural supercongruences involving the sequence
Hui-Li Han, Chen Wang
In this paper, we study some supercongruences involving the sequence and solve some open problems. For any odd pr…
math.NT2025
On a conjectural supercongruence involving the dual sequence
Chen Wang, Sheng-Jie Wang
In 2017, motivated by a supercongruence conjectured by Kimoto and Wakayama and confirmed by Long, Osburn and Swisher, Z.-W. Sun introduced the sequence of polynomials: $$ s_n(x)=\s…