Chen Wang

activity

20182020

most citedProof of a congruence concerning truncated hypergeometric series

_{6} F_{5}

2 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2020

Divisibility results concerning truncated hypergeometric series

Chen Wang, Wei Xia

In this paper, using the well-known Karlsson-Minton formula, we mainly establish two divisibility results concerning truncated hypergeometric series. Let $n > 2$ and $q > 0$ be integer…

math.NT2020★ 1 cited

On a conjectural congruence of Guo

Chen Wang, Hao Pan

Let $p \equiv 3 (mod 4)$ be a prime and $r$ a positive integer. We show that $k = 1 \prod (p^{2 r} - 1) /2 \frac{4 k - 1}{4 k + 1} \equiv 1 (mod p^{2}) .$ This confirms a recent conjecture of…

math.NT2019★ 1 cited

$p$ -adic analogues of hypergeometric identities and their applications

Chen Wang, Zhi-Wei Sun

In this paper, we confirm several conjectures posed by Sun recently; for example, we prove that for any odd prime $p$ we have $$ \sum_{k=0}^{p-1}A_k\equiv\begin{cases}4x^2-2p\pmod{…

math.NT2018★ 2 cited

Proof of a congruence concerning truncated hypergeometric series $_{6} F_{5}$

Chen Wang

In this paper, we mainly prove the following congruence conjectured by J.-C. Liu: $$ {}_6F_5\bigg[\begin{matrix}\frac{5}{4}&\frac{1}{2}&\frac{1}{2}&\frac{1}{2}&\frac{1}{2}&\frac{1}…

Divisibility results concerning truncated hypergeometric series

On a conjectural congruence of Guo

p-adic analogues of hypergeometric identities and their applications

Proof of a congruence concerning truncated hypergeometric series 6​F5​

$p$ -adic analogues of hypergeometric identities and their applications

Proof of a congruence concerning truncated hypergeometric series $_{6} F_{5}$