Difference of a Hauptmodul for $\Gamma_{0}(N)$
Number Theory
2017-08-30 v2
Abstract
In this short note, by modifying the results and proofs given in the author's recent work, we simply show that the difference of a Hauptmodul for any genus zero group is a Borcherds lift. This work extends Scheithauer's results in a different direction. As a consequence, we derive Monster denominator formula like product expansion for these Hilbert modular forms.
Keywords
Cite
@article{arxiv.1704.05990,
title = {Difference of a Hauptmodul for $\Gamma_{0}(N)$},
author = {Dongxi Ye},
journal= {arXiv preprint arXiv:1704.05990},
year = {2017}
}
Comments
Please refer to recent work "Difference of a Hauptmodul for $\Gamma_{0}(N)$ and certain Gross-Zagier type CM value formulas" of the author