L-Series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915124877459456 |
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| author | Lim, Subong Raji, Wissam |
| author_facet | Lim, Subong Raji, Wissam |
| contents | We introduce the $L$-series of weakly holomorphic modular forms using Laplace transforms and give their functional equations. We then determine converse theorems for vector-valued harmonic weak Maass forms, Jacobi forms, and elliptic modular forms of half-integer weight in Kohnen plus space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04258 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | L-Series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems Lim, Subong Raji, Wissam Number Theory We introduce the $L$-series of weakly holomorphic modular forms using Laplace transforms and give their functional equations. We then determine converse theorems for vector-valued harmonic weak Maass forms, Jacobi forms, and elliptic modular forms of half-integer weight in Kohnen plus space. |
| title | L-Series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.04258 |