English

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

Number Theory 2023-03-28 v1

Abstract

In this article, we explicitly construct a canonical basis for the space of certain weakly holomorphic Drinfeld modular forms for Γ0(T)\Gamma_0(T) (resp., for Γ0+(T)\Gamma_0^+(T)) and compute the generating function satisfied by the basis elements. We also give an explicit expression for the action of the Θ\Theta-operator, which depends on the divisor of meromorphic Drinfeld modular forms.

Keywords

Cite

@article{arxiv.2303.14383,
  title  = {A Basis for the space of weakly holomorphic Drinfeld modular forms of level $T$},
  author = {Tarun Dalal},
  journal= {arXiv preprint arXiv:2303.14383},
  year   = {2023}
}