Non-Vanishing of L-Functions of Vector-Valued Modular Forms

2023/02/24 by Lim, Subong, Raji, Wissam
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2302.12576

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.

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