Completeness of stuffle and SZ-duality relations

Establish that all Q-linear relations among SchlesingerZudilin qMZVs are generated by the stuffle product relations and SchlesingerZudilin duality relations.

Background

The paper studies confluence relations for q-analogues of multiple zeta values in the SchlesingerZudilin model. It proves that stuffle product relations are contained in the confluence relations and, conditional on a further conjectural identity, that the BradleyZhao and SchlesingerZudilin duality relations are also contained in them.

The cited conjecture asserts that these two known families generate the entire space of rational linear relations among SchlesingerZudilin qMZVs. Thus, proving it would characterize all rational linear dependencies among the qMZVs considered in the paper.