2021/12/16 by Wang, Xiaoxia, Xu, Chang
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2112.08585
In this paper, we investigate a number of q-supercongruences on double and triple sums. By means of a lemma devised by El Bachraoui and its generalization, we transform some q-supercongruences on double and triple sums into the q-supercongruences of the square and cube of truncated basic hypergeometric series.Our main tools still involve the `creative microscoping' method introduced by Guo and Zudilin, a lemma designed by Guo and Li and the Chinese remainder theorem.