Refined strong multiplicity one theorems for paramodular cusp forms are established with an application to distinguishing eigenforms by twisted central values of spinor L-functions.
On distinguishing Siegel cusp forms of degree two
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abstract
In this work, we establish several results on distinguishing Siegel cusp forms of degree two. In particular, a Hecke eigenform of level one can be determined by its second Hecke eigenvalue under a certain assumption. Moreover, we can distinguish two Hecke eigenforms of level one by using $L$-functions.
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2023 1verdicts
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Some remarks on strong multiplicity one for paramodular forms
Refined strong multiplicity one theorems for paramodular cusp forms are established with an application to distinguishing eigenforms by twisted central values of spinor L-functions.