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arXiv · 2310.17144

Some remarks on strong multiplicity one for paramodular forms

Xiyuan Wang·Zhining Wei·Pan Yan·Shaoyun Yi
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Abstract

We establish several refined strong multiplicity one results for paramodular cusp forms by using automorphic and Galois-theoretic methods. We also give an application to distinguishing eigenforms by the twisted central values of the spinor $L$-functions, which is based on a result in Radziwi{\l}{\l} and Yang 2023 (arXiv:2304.09171).

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Xiyuan Wang, Zhining Wei, Pan Yan, Shaoyun Yi. 2023-10-26. Some remarks on strong multiplicity one for paramodular forms. https://doi.org/10.1112/mtk.70098

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