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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
中文翻译:
T 级弱全纯 Drinfeld 模形式的空间基础
更新日期:2023-12-28
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 (resp., for ) 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:(分别为)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。