Non-Vanishing of L-Functions of Vector-Valued Modular Forms
Number Theory
2023-05-12 v2
Abstract
We show a non-vanishing result for the averages of L-functions associated with the orthogonal basis of the space of cusp forms of vector-valued modular forms on the full group. We also show the existence of at least one basis element whose L-function does not vanish under certain conditions.
Cite
@article{arxiv.2302.12576,
title = {Non-Vanishing of L-Functions of Vector-Valued Modular Forms},
author = {Subong Lim and Wissam Raji},
journal= {arXiv preprint arXiv:2302.12576},
year = {2023}
}