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A basis for the space of weakly holomorphic Drinfeld modular forms of level T
Journal of Number Theory ( IF 0.7 ) Pub Date : 2023-12-28 , DOI: 10.1016/j.jnt.2023.11.003
Tarun Dalal

In this article, we explicitly construct a canonical basis for the space of certain weakly holomorphic Drinfeld modular forms for Γ0(T) (resp., for Γ0+(T)) and compute the generating function satisfied by the basis elements. We also give an explicit expression for the action of the Θ-operator, which depends on the divisor of meromorphic Drinfeld modular forms.



中文翻译:

T 级弱全纯 Drinfeld 模形式的空间基础

在本文中,我们明确地为某些弱全纯 Drinfeld 模形式的空间构建了规范基础:γ0时间(分别为γ0+时间)并计算基本元素满足的生成函数。我们还给出了 θ 算子作用的显式表达式,该表达式取决于亚纯 Drinfeld 模形式的除数。

更新日期:2023-12-28
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