  A result on the Galois theory of $q$-difference equations \cite{JSTALPAEN}
leads to the following question: if $q \in \Cs$, $\lmod q \rmod < 1$ and if one
sets $\thq(z) := \sum\limits_{m \in \Z} q^{m(m-1)/2} z^m$, can some
coefficients of the Laurent series expansion of $\theta_q^k(z)$, $k \in \N^*$,
vanish ? We give a partial answer.
