Some applications of modular units
Number Theory
2012-08-07 v2
Abstract
We show that a weakly holomorphic modular function can be written as a sum of modular units of higher level. We further find a necessary and sufficient condition for a Siegel modular function of degree to have neither zero nor pole on the domain when restricted to certain subset of the Siegel upper half-space .
Cite
@article{arxiv.1207.1609,
title = {Some applications of modular units},
author = {Ick Sun Eum and Ja Kyung Koo and Dong Hwa Shin},
journal= {arXiv preprint arXiv:1207.1609},
year = {2012}
}