  We study the asymptotic representation for the zeros of the deformed
exponential function $\sum\nolimits_{n = 0}^\infty {\frac1{n!}{q^{n(n -
1)/2}{x^n}}} $, $q\in (0,1)$. Indeed, we obtain an asymptotic formula for these
zeros: \[x_n=- nq^{1-n}(1 + g(q)n^{-2}+o(n^{-2})),n\ge1,\] where
$g(q)=\sum\nolimits_{k = 1}^\infty {\sigma (k){q^k}}$ is the generating
function of the sum-of-divisors function $\sigma(k)$. This improves earlier
results by Langley and Liu. The proof of this formula is reduced to estimating
the sum of an alternating series, where the Jacobi's triple product identity
plays a key role.
