GMGuo-Shuai Mao
Guo-Shuai Mao
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Guo-Shuai Mao has a total of 16 co-authors. Here are the top co-authors by number of shared publications:
- Yan Liu
Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, People's Republic of China
4 shared publications - Chen-Wei Wen
Department of Mathematics, Nanjing University, Nanjing, People’s Republic of China
2 shared publications Danrui Li
Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing, People's Republic of China
2 shared publications- Hao Pan
School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, People’s Republic of China
2 shared publications - An-Bang ZhaoSong
Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing, People’s Republic of China
1 shared publication - Chen Wang
Department of Applied Mathematics, Nanjing Forestry University, Nanjing, People’s Republic of China
1 shared publication
Latest Publications
- 22 December 2025
- Published by Elsevier in Journal of Symbolic Computation
- Vol. 135
Supercongruences involving products of two binomial coefficients modulo p4
- 22 December 2025
- Published by Elsevier in Journal of Symbolic Computation
- Vol. 135
Supercongruences involving products of two binomial coefficients modulo p4
- Open Access
- 22 October 2025
- Published by European Mathematical Society - EMS - Publishing House GmbH in Publications of the Research Institute for Mathematical Sciences
- Vol. 61 (4) , 611-625
On Some Congruence Conjectures Involving Binary Quadratic Forms
In this paper, we mainly prove some congruence conjectures of Z.-H. Sun, for example, let p be a prime such that p\equiv1\pmod6 and p=x^{2}+3y^{2} . Then p\sum_{k=0}^{p-1}\frac{\binom{2k}k^{2}}{(3k+1)16^{k}}\equiv 4x^{2} -2p -{\frac{p^{2}}{4x^{2}}}\pmod{p^3} .
- 22 October 2025
- Published by European Mathematical Society - EMS - Publishing House GmbH in Publications of the Research Institute for Mathematical Sciences
- Vol. 61 (4) , 611-625
Open AccessOn Some Congruence Conjectures Involving Binary Quadratic Forms
In this paper, we mainly prove some congruence conjectures of Z.-H. Sun, for example, let p be a prime such that p\equiv1\pmod6 and p=x^{2}+3y^{2} . Then p\sum_{k=0}^{p-1}\frac{\binom{2k}k^{2}}{(3k+1)16^{k}}\equiv 4x^{2} -2p -{\frac{p^{2}}{4x^{2}}}\pmod{p^3} .
- 15 July 2025
- Published by Springer Nature in Frontiers of Mathematics
- Vol. 21 (4) , 839-868
Proof of Some Conjectural Congruences Involving Almkvist-Zudilin Numbers bn
- 15 July 2025
- Published by Springer Nature in Frontiers of Mathematics
- Vol. 21 (4) , 839-868
Proof of Some Conjectural Congruences Involving Almkvist-Zudilin Numbers bn
- 5 May 2025
- Published by Springer Nature in Frontiers of Mathematics
- Vol. 21 (2) , 341-368
Proof of Some Conjectural Congruences Involving Binomial Coefficients and Apéry-like Numbers
- 5 May 2025
- Published by Springer Nature in Frontiers of Mathematics
- Vol. 21 (2) , 341-368
Proof of Some Conjectural Congruences Involving Binomial Coefficients and Apéry-like Numbers
- 5 January 2025
- Published by Springer Nature in Frontiers of Mathematics
- Vol. 20 (6) , 1285-1304
Proof of Some Congruence Conjectures of Z.-H. Sun
- 5 January 2025
- Published by Springer Nature in Frontiers of Mathematics
- Vol. 20 (6) , 1285-1304
Proof of Some Congruence Conjectures of Z.-H. Sun
- 25 June 2024
- Published by Elsevier in Journal of Mathematical Analysis and Applications
- Vol. 540 (2)
Proof of some congruences via the hypergeometric identities
- 25 June 2024
- Published by Elsevier in Journal of Mathematical Analysis and Applications
- Vol. 540 (2)
Proof of some congruences via the hypergeometric identities
- 3 April 2024
- Published by Springer Nature in Indian Journal of Pure and Applied Mathematics
- Vol. 57 (2) , 409-418
On some super-congruences for the coefficients of analytic solutions of certain differential equations
- 3 April 2024
- Published by Springer Nature in Indian Journal of Pure and Applied Mathematics
- Vol. 57 (2) , 409-418
On some super-congruences for the coefficients of analytic solutions of certain differential equations
- 8 March 2024
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 110 (3) , 409-420
ON SOME CONGRUENCES INVOLVING CENTRAL BINOMIAL COEFFICIENTS
We prove the following conjecture of Z.-W. Sun [‘On congruences related to central binomial coefficients’, J. Number Theory13(11) (2011), 2219–2238]. Let p be an odd prime. Then $$ \begin{align*} \sum_{k=1}^{p-1}\frac{\binom{2k}k}{k2^k}\equiv-\frac12H_{{(p-1)}/2}+\frac7{16}p^2B_{p-3}\pmod{p^3}, \end{align*} $$ where $H_n$ is the nth harmonic number and $B_n$ is the nth Bernoulli number. In addition, we evaluate $\sum _{k=0}^{p-1}(ak+b)\binom {2k}k/2^k$ modulo $p^3$ for any p-adic integers $a, b$ .- 8 March 2024
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 110 (3) , 409-420
ON SOME CONGRUENCES INVOLVING CENTRAL BINOMIAL COEFFICIENTS
We prove the following conjecture of Z.-W. Sun [‘On congruences related to central binomial coefficients’, J. Number Theory13(11) (2011), 2219–2238]. Let p be an odd prime. Then $$ \begin{align*} \sum_{k=1}^{p-1}\frac{\binom{2k}k}{k2^k}\equiv-\frac12H_{{(p-1)}/2}+\frac7{16}p^2B_{p-3}\pmod{p^3}, \end{align*} $$ where $H_n$ is the nth harmonic number and $B_n$ is the nth Bernoulli number. In addition, we evaluate $\sum _{k=0}^{p-1}(ak+b)\binom {2k}k/2^k$ modulo $p^3$ for any p-adic integers $a, b$ .- 7 March 2024
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 67 (2) , 1-20
Proof of some conjectural congruences involving Apéry and Apéry-like numbers
In this paper, we mainly prove the following conjectures of Sun [16]: Let p > 3 be a prime. Then\begin{align*}&A_{2p}\equiv A_2-\frac{1648}3p^3B_{p-3}\ ({\rm{mod}}\ p^4),\\&A_{2p-1}\equiv A_1+\frac{16p^3}3B_{p-3}\ ({\rm{mod}}\ p^4),\\&A_{3p}\equiv A_3-36738p^3B_{p-3}\ ({\rm{mod}}\ p^4),\end{align*}where is the nth Apéry number, and Bn is the nth Bernoulli number.- 7 March 2024
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 67 (2) , 1-20
Proof of some conjectural congruences involving Apéry and Apéry-like numbers
In this paper, we mainly prove the following conjectures of Sun [16]: Let p > 3 be a prime. Then\begin{align*}&A_{2p}\equiv A_2-\frac{1648}3p^3B_{p-3}\ ({\rm{mod}}\ p^4),\\&A_{2p-1}\equiv A_1+\frac{16p^3}3B_{p-3}\ ({\rm{mod}}\ p^4),\\&A_{3p}\equiv A_3-36738p^3B_{p-3}\ ({\rm{mod}}\ p^4),\end{align*}where is the nth Apéry number, and Bn is the nth Bernoulli number.- 31 January 2024
- Published by Springer Nature in The Ramanujan Journal
- Vol. 64 (1) , 123-142
Connections between binomial coefficients and binary quadratic forms
- 31 January 2024
- Published by Springer Nature in The Ramanujan Journal
- Vol. 64 (1) , 123-142
Connections between binomial coefficients and binary quadratic forms