Relationship with classical confluence relations

Investigate in greater detail the relationship between the confluence relations for qMZVs constructed in the paper and the classical confluence relations for multiple zeta values.

Background

The construction adapts the classical moving-puncture and limiting procedure to qMPLs and qMZVs. Although the paper establishes structural properties of the q-analogue, it does not determine how its relation space compares with the classical confluence-relation space.

A detailed comparison could clarify whether the q-confluence construction specializes to, deforms, or otherwise reflects the classical theory.

References

The relationship between the confluence relations constructed in this paper and the classical confluence relations remains to be investigated in more detail.

— Confluence relations for $q$-analogues of multiple zeta values  (2609.01458 - Hirose, 1 Sep 2026) in Section 5, “Further questions”