Guo-Shuai Mao

collaborators

2 papers

math.NT2023

Proof of two congruence conjectures of Z.-W. Sun

Guo-Shuai Mao

In this paper, we mainly prove two congruence conjecture of Z.-W. Sun. Let $p \equiv 3 (mod 4)$ be a prime. Then $$\sum_{k=0}^{p-1}\frac{\binom{2k}k^2}{8^k}\equiv-\sum_{k=0}^{p-1}\fra…

math.NT2021

Supercongruences involving Domb numbers and binary quadratic forms

Guo-Shuai Mao, Michael J. Schlosser

In this paper, we prove two recently conjectured supercongruences (modulo $p^{3}$ , where $p$ is any prime greater than $3$ ) of Zhi-Hong Sun on truncated sums involving the Domb numbe…