Two $q$-Supercongruences Related to Double Sums

Wei-Wei Qi

Two $q$-Supercongruences Related to Double Sums

Combinatorics 2026-08-01 v1

Authors: Wei-Wei Qi

Abstract

In this paper, by using $q$ -identities and differential operator techniques, we establish two $q$ -supercongruences modulo the square of a cyclotomic polynomial, which are associated with truncated double basic hypergeometric $q$ -series.

Keywords

q-supercongruence cyclotomic polynomial hypergeometric q-series differential operator

Cite

@article{arxiv.2608.00509,
  title  = {Two $q$-Supercongruences Related to Double Sums},
  author = {Wei-Wei Qi},
  journal= {arXiv preprint arXiv:2608.00509},
  year   = {2026}
}