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arXiv · 1207.1609

Some applications of modular units

Ick Sun Eum·Ja Kyung Koo·Dong Hwa Shin
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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 $g$ to have neither zero nor pole on the domain when restricted to certain subset of the Siegel upper half-space $\mathbb{H}_g$.

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Ick Sun Eum, Ja Kyung Koo, Dong Hwa Shin. 2012-08-05. Some applications of modular units. https://arxiv.org/abs/1207.1609

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