Some remarks on strong multiplicity one for paramodular forms
Number Theory
2026-04-29 v2
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 -functions, which is based on a result in Radziwi{\l}{\l} and Yang 2023 (arXiv:2304.09171).
Keywords
Cite
@article{arxiv.2310.17144,
title = {Some remarks on strong multiplicity one for paramodular forms},
author = {Xiyuan Wang and Zhining Wei and Pan Yan and Shaoyun Yi},
journal= {arXiv preprint arXiv:2310.17144},
year = {2026}
}
Comments
32 pages. Fixed some typographical errors and improved exposition. To appear in Mathematika