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arxiv: 2310.17144 · v2 · submitted 2023-10-26 · 🧮 math.NT

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Some remarks on strong multiplicity one for paramodular forms

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keywords formsmultiplicityparamodularstrongapplicationarxivautomorphiccentral
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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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