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arXiv · 2202.09542

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

Weijia Wang·Hao Zhang
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Abstract

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

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Weijia Wang, Hao Zhang. 2022-02-19. Meromorphic quasi-modular forms and their $L$-functions. https://arxiv.org/abs/2202.09542

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