Chen Wang

activity

20242026

collaborators

Showing math.NTShow all

4 papers · 1 filter

math.NT2026

A supercongruence related to Whipple's $_{5} F_{4}$ formula and Dwork's dash operation

Chen Wang, He-Xia Ni

We establish a parametric supercongruence related to Whipple's $_{5} F_{4}$ 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 $t_{n} (x)$

Hui-Li Han, Chen Wang

In this paper, we study some supercongruences involving the sequence $t_{n} (x) = k = 0 \sum n (k n) (k x) (k x + k) 2^{k}$ and solve some open problems. For any odd pr…

math.NT2025

On a conjectural supercongruence involving the dual sequence $s_{n} (x)$

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…

math.NT2024

Supercongruences involving binomial coefficients and Euler polynomials

Chen Wang, Hui-Li Han

Let $p$ be an odd prime and let $x$ be a $p$ -adic integer. In this paper, we establish supercongruences for $$ \sum_{k=0}^{p-1}\frac{\binom{x}{k}\binom{x+k}{k}(-4)^k}{(dk+1)\binom{…

A supercongruence related to Whipple's 5​F4​ formula and Dwork's dash operation

On some conjectural supercongruences involving the sequence tn​(x)

On a conjectural supercongruence involving the dual sequence sn​(x)

Supercongruences involving binomial coefficients and Euler polynomials

A supercongruence related to Whipple's $_{5} F_{4}$ formula and Dwork's dash operation

On some conjectural supercongruences involving the sequence $t_{n} (x)$

On a conjectural supercongruence involving the dual sequence $s_{n} (x)$