Proceedings Paper for REU Project Involving Counting Eta-Quotients

Allison Arnold-Roksandich, Kevin James, Rodney Keaton

It is known that all modular forms on $S{L}_2(Z)$ can be expressed as a rational function in $\eta (z)$, $\eta (2z)$ and $\eta (4z)$. By using a theorem by Gordon, Hughes, and Newman, and calcul…