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arXiv · 1704.05990

Difference of a Hauptmodul for $Γ_{0}(N)$

Dongxi Ye
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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 $Γ_{0}(N)$ 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.

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Dongxi Ye. 2017-08-29. Difference of a Hauptmodul for $Γ_{0}(N)$. https://arxiv.org/abs/1704.05990

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