Some remarks on strong multiplicity one for paramodular forms

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 Radziwiłł and Yang 2023 (arXiv:2304.09171).

32 pages. Fixed some typographical errors and improved exposition. To appear in Mathematika