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

Subong Lim; Wissam Raji

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arXiv · 2302.12576

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

Subong Lim·Wissam Raji

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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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Subong Lim, Wissam Raji. 2023-02-24. Non-Vanishing of L-Functions of Vector-Valued Modular Forms. https://arxiv.org/abs/2302.12576

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