Meromorphic quasi-modular forms and their L-functions

Weijia Wang Yanqi Lake Beijing Institute of Mathematical Sciences and Applications & Yau Mathematical Sciences Center, Tsinghua University, Beijing 101408, PR China Hao Zhang School of Mathematics, Hunan University, Changsha 410082, PR China

Number Theory mathscidoc:2206.24004

Journal of Number Theory, 2022.5
We investigate meromorphic quasi-modular forms and their L-functions. We study the space of meromorphic quasi-modular forms and Rankin–Cohen brackets of meromorphic modular forms. Then we define their L-functions by using multiple techniques of regularized integral. Explicit formulas for the L-functions are given.
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  title={Meromorphic quasi-modular forms and their L-functions},
  author={Weijia Wang, and Hao Zhang},
  booktitle={Journal of Number Theory},
Weijia Wang, and Hao Zhang. Meromorphic quasi-modular forms and their L-functions. 2022. In Journal of Number Theory.
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