Infinite Families of Simple Holomorphic Eta Quotients

Abstract

We address the problem of constructing a simple holomor- phic eta quotient of a given level N . Such constructions are known for all cubefree N . Here, we provide such constructions for arbitrarily large prime power levels. As a consequence, we obtain an irreducibility

13 pages. arXiv admin note: text overlap with arXiv:1602.02814, arXiv:1602.03087, arXiv:1602.02825, arXiv:1602.02835