English

Meromorphic quasi-modular forms and their $L$-functions

Number Theory 2022-02-22 v1

Abstract

We investigate the meromorphic quasi-modular forms and their LL-functions. We study the space of meromorphic quasi-modular forms. Then we define their LL-functions by using the technique of regularized integral. Moreover, we give an explicit formula for the LL-functions. As an application, we obtain some vanishing results of special LL-values of meromorphic quasi-modular forms.

Keywords

Cite

@article{arxiv.2202.09542,
  title  = {Meromorphic quasi-modular forms and their $L$-functions},
  author = {Weijia Wang and Hao Zhang},
  journal= {arXiv preprint arXiv:2202.09542},
  year   = {2022}
}
R2 v1 2026-06-24T09:45:38.597Z