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arXiv · 2303.14383

A Basis for the space of weakly holomorphic Drinfeld modular forms of level $T$

Tarun Dalal
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Abstract

In this article, we explicitly construct a canonical basis for the space of certain weakly holomorphic Drinfeld modular forms for $\Gamma_0(T)$ (resp., for $\Gamma_0^+(T)$) and compute the generating function satisfied by the basis elements. We also give an explicit expression for the action of the $\Theta$-operator, which depends on the divisor of meromorphic Drinfeld modular forms.

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Tarun Dalal. 2023-03-25. A Basis for the space of weakly holomorphic Drinfeld modular forms of level $T$. https://arxiv.org/abs/2303.14383

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