2017/01/01 by Soumya Bhattacharya, Bhattacharya, Soumya
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT
paper · pdf · doi:10.48550/arxiv.1701.00278
13 pages. arXiv admin note: text overlap with arXiv:1602.02814, arXiv:1602.03087, arXiv:1602.02825, arXiv:1602.02835
arxiv created 2017/01/01 · arxiv updated 2017/01/03
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