Chen Wang

activity

20182022

most citedOn two conjectural supercongruences of Z.-W. Sun

3 citations · 7 across the 7 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.NT2019

Symbolic summation methods and hypergeometric supercongruences

Chen Wang

In this paper, we establish the following two congruences: \begin{gather*} \sum_{k=0}^{(p+1)/2}(3k-1)\frac{\left(-\frac{1}{2}\right)_k^2\left(\frac{1}{2}\right)_k4^k}{k!^3}\equiv p…

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.NT2019

Two congruences concerning Apéry numbers

Chen Wang

Let $n$ be a nonnegative integer. The $n$ -th Apéry number is defined by $A_{n} := k = 0 \sum n (k n + k)^{2} (k n)^{2} .$ Z.-W. Sun ever investigated the congruence properties…

math.NT2019

A local-global theorem for $p$ -adic supercongruences

Hao Pan, Roberto Tauraso, Chen Wang

Let $Z_{p}$ denote the ring of all $p$ -adic integers and call $U = {(x_{1}, \dots, x_{n}) : a_{1} x_{1} + \dots + a_{n} x_{n} + b = 0}$ a hyperplane over $Z_{p}^{n}$ , where at…

math.NT2019

On some conjectural congruences

Chen Wang

In this paper, we confirm some congruences conjectured by V.J.W. Guo and M.J. Schlosser recently. For example, we show that for primes $p > 3$ , $$ \sum_{k=0}^{p-1}(2pk-2k-1)\frac{\le…

Symbolic summation methods and hypergeometric supercongruences

p-adic analogues of hypergeometric identities and their applications

Two congruences concerning Apéry numbers

A local-global theorem for p-adic supercongruences

On some conjectural congruences

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

A local-global theorem for $p$ -adic supercongruences