On distinguishing Siegel cusp forms of degree two

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.

arXiv commentTo appear in the International Journal of Number Theory