Showing math.NTShow all
3 papers · 1 filter
math.NT2023
Some Lucas-type congruences for q-trinomial coefficients
Yifan Chen, Xiaoxia Wang
In this paper, we present several new -congruences on the -trinomial coefficients introduced by Andrews and Baxter. As a conclusion, we obtain the following congruence: \begi…
math.NT2021
Some q-supercongruences on double and triple sums
Xiaoxia Wang, Chang Xu
In this paper, we investigate a number of -supercongruences on double and triple sums. By means of a lemma devised by El Bachraoui and its generalization, we transform some -…
math.NT2012
πand other formulae implied by hypergeometric summation theorems
Yong Sup Kim, Xiaoxia Wang, Arjun K. Rathie
By employing certain extended classical summation theorems, several surprising πand other formulae are displayed.