CWChen-Wei Wen
Chen-Wei Wen
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Chen-Wei Wen has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Guo-Shuai Mao
Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing, China
2 shared publications
Latest Publications
- 27 February 2021
- Published by Springer Nature in The Ramanujan Journal
- Vol. 56 (2) , 597-612
On two supercongruences of truncated hypergeometric series ${}_{4}F_{3}$- 27 February 2021
- Published by Springer Nature in The Ramanujan Journal
- Vol. 56 (2) , 597-612
On two supercongruences of truncated hypergeometric series ${}_{4}F_{3}$- Open Access
Proof of two supercongruences conjectured by Z.-W. Sun
In this paper, we prove two supercongruences conjectured by Z.-W. Sun via the Wilf-Zeilberger method. One of them is, for any prime $p>3$, \begin{align*} \sum_{n=0}^{p-1}\frac{6n+1}{256^n}\binom{2n}n^3&\equiv p(-1)^{(p-1)/2}-p^3E_{p-3}\pmod{p^4}. \end{align*} In fact, this supercongruence is a generalization of a supercongruence of van Hamme.Open AccessProof of two supercongruences conjectured by Z.-W. Sun
In this paper, we prove two supercongruences conjectured by Z.-W. Sun via the Wilf-Zeilberger method. One of them is, for any prime $p>3$, \begin{align*} \sum_{n=0}^{p-1}\frac{6n+1}{256^n}\binom{2n}n^3&\equiv p(-1)^{(p-1)/2}-p^3E_{p-3}\pmod{p^4}. \end{align*} In fact, this supercongruence is a generalization of a supercongruence of van Hamme.