Several Families of q-supercongruences on Multiple Sums
摘要
In this paper, in view of El Bachraoui’s lemma, the creative microscoping method introduced by Guo and Zudilin, the Chinese remainder theorem for coprime polynomials, and Jackson’s 6ϕ5 summation formula, we establish several families of q-supercongruences modulo the fourth power of a cyclotomic polynomial on double, triple and quadruple sums respectively.