3 papers
math.CO2022
Further q-analogues of the (G.2) Supercongruence of Van Hamme
Yudong Liu, Xiaoxia Wang
In 2015, Swisher generalized the (G.2) supercongruence of Van Hamme to the modulus p^4. In this paper, we first propose two q-analogues of Swisher's supercongruence and then a new…
math.CO2021
Some q-supercongruences from Rahman's summation formula
Yudong Liu, Xiaoxia Wang
Inspired by the recent work on -congruences and the quadratic summation formula of Rahman, we provide some new -supercongruences. By taking in one of our results, we…
math.NT2020
q-analogues of the G.2 Supercongruence of Van Hamme
Yudong Liu, Xiaoxia Wang
Motivated by the recent research of congruences and -congruences, we provide two different -analogues of the (G.2) supercongruence of Van Hamme through the `creative microsco…