Infinite Families of Simple Holomorphic Eta Quotients
Number Theory
2017-01-03 v1
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
Keywords
Cite
@article{arxiv.1701.00278,
title = {Infinite Families of Simple Holomorphic Eta Quotients},
author = {Soumya Bhattacharya},
journal= {arXiv preprint arXiv:1701.00278},
year = {2017}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:1602.02814, arXiv:1602.03087, arXiv:1602.02825, arXiv:1602.02835