On distinguishing Siegel cusp forms of degree two

2022/07/27 by Wei, Zhining, Yi, Shaoyun
#11F46 #11F60 #11F66 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2207.13234

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 also distinguish two Hecke eigenforms of level one by using L-functions.

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