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arXiv · 2409.04258

L-Series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems

Subong Lim·Wissam Raji
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Abstract

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.

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Subong Lim, Wissam Raji. 2024-09-06. L-Series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems. https://doi.org/10.4153/s0008414x24001160

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