On Euler's decomposition formula for qMZVs
Jaime Castillo Medina, Kurusch Ebrahimi-Fard, Dominique Manchon
TL;DR
This paper derives a q-analogue of Euler's decomposition formula for q-multiple zeta values, addressing a question posed by previous researchers and expanding the understanding of q-analogues in number theory.
Contribution
It introduces a new q-generalization of Euler's decomposition formula for qMZVs, providing an elementary derivation that answers an open question.
Findings
Derived a q-analogue of Euler's decomposition formula
Provided an elementary proof for the qMZV case
Extended the understanding of q-analogues in number theory
Abstract
In this short and elementary note we derive a q-generalization of Euler's decomposition formula for the qMZVs recently introduced by Y. Ohno, J. Okuda, and W. Zudilin. This answers a question posed by these authors in [10].
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