Some $q$-analogs of congruences for central binomial sums

TL;DR

This paper develops $q$-analogs of existing congruences related to central binomial sums, using the $q$-WZ method to establish the necessary identities.

Contribution

It introduces new $q$-analogues of known congruences for central binomial sums, expanding the theoretical framework with novel identities.

Findings

Established $q$-analogs for four central binomial sum congruences

Utilized the $q$-WZ method to prove key identities

Enhanced understanding of $q$-analogues in combinatorial congruences

Abstract

We establish $q$-analogs for four congruences involving central binomial coefficients. The $q$-identities necessary for this purpose are shown via the $q$-WZ method.