Taylor coefficients and zeroes of entire functions of exponential type

Lior Hadassi, Mikhail Sodin

Let $F$ be an entire function of exponential type represented by the Taylor series \[ F(z) = \sum_{n\ge 0} ω_n \frac{z^n}{n!} \] with unimodular coefficients $|{\omega }_n|=1$. We show tha…