L -SERIES for VECTOR-VALUED WEAKLY HOLOMORPHIC MODULAR FORMS and CONVERSE THEOREMS

초록

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-integral weight in Kohnen plus space. © The Author(s), 2025.

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