A family of Eta Quotients and an Extension of the Ramanujan-Mordell Theorem

Ayse Alaca, Saban Alaca, Zafer Selcuk Aygin

Let $k\ge 2$ be an integer and $j$ an integer satisfying $1\le j\le 4k-5$. We define a family $\{C_{j,k}(z){\}}_{1\le j\le 4k-5}$ of eta quotients, and prove that this fami…