Entire functions with an arithmetic sequence of exponents

Dallas Ruth, Khang Tran

For a given entire function $f(z)={\sum }_{j=0}^{\infty }{a}_j{z}^j$, we study the zero distribution of $f_r(z)={\sum }_{j\equiv r(\mathrm{mod}m)}{a}_j{z}^j$ where $m\in \mathbb{N}$ and $0\le r<…