L-Series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems
Number Theory
2025-01-29 v1
Abstract
We introduce the -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.
Cite
@article{arxiv.2409.04258,
title = {L-Series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems},
author = {Subong Lim and Wissam Raji},
journal= {arXiv preprint arXiv:2409.04258},
year = {2025}
}