3 citations · 7 across the 6 of their papers we have counts for
14 papers
Congruences concerning generalized central trinomial coefficients
Jia-Yu Chen, Chen Wang
For any and , the generalized central trinomial coefficient denotes the coefficient of in the expansion of $(x^…
Proof of some supercongruences concerning truncated hypergeometric series
Chen Wang, Dian-Wang Hu
In this paper, we prove some supercongruences concerning truncated hypergeometric series. For example, we show that for any prime and positive integer , $$ \sum_{k=0}^{p^r…
On two conjectural supercongruences of Z.-W. Sun
Chen Wang
In this paper, we mainly prove two conjectural supercongruences of Sun by using the following identity $$ \sum_{k=0}^n\binom{2k}{k}^2\binom{2n-2k}{n-k}^2=16^n\sum_{k=0}^n\frac{\bin…
Some -congruences arising from certain identities
Chen Wang, He-Xia Ni
In this paper, by constructing some identities, we prove some -analogues of some congruences. For example, for any odd integer , we show that \begin{gather*} \sum_{k=0}^{n-…
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 and be integer…
On a conjectural congruence of Guo
Chen Wang, Hao Pan
Let be a prime and a positive integer. We show that This confirms a recent conjecture of…