Finiteness of simple holomorphic eta quotients of a given weight
Number Theory
2016-07-11 v4
Abstract
We provide a simplified proof of Zagier's conjecture / Mersmann's theorem which states that of any particular weight, there are only finitely many holomorphic eta quotients, none of which is an integral rescaling of another eta quotient or a product of two holomorphic eta quotients other than 1 and itself.
Cite
@article{arxiv.1602.02825,
title = {Finiteness of simple holomorphic eta quotients of a given weight},
author = {Soumya Bhattacharya},
journal= {arXiv preprint arXiv:1602.02825},
year = {2016}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1602.02835, arXiv:1602.03087, arXiv:1602.02814