Meromorphic quasi-modular forms and their L-functions

2022/02/19 by Weijia Wang, Hao Zhang, Wang, Weijia +1
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.2202.09542

arxiv created 2022/02/19 · openalex publication_date 2022/02/19 · arxiv updated 2022/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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