Multiple q-zeta values and traces

Zhenbo Qin

Let $(a{)}_{\infty }=(a;q{)}_{\infty }={\prod }_{n=0}^{\infty }(1-a{q}^n)$. An elegant result of Bloch and Okounkov [BO] states that if $x=e^z$, then $$ \frac{(xq)_\infty (x^{-1}q)_\infty}{(…