Zeros of Quasimodular Forms Defined by Iterated Sums

Katsumi Kina, Gyucheol Shin

We study the zeros of the quasimodular forms $G_{\{2{\}}^n}$ defined by iterated sums. We first show that, for every $n>0$, $G_{\{2{\}}^n}$ has exactly $n$ simple zeros on each of the…