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A note on arithmetic behavior of Hecke eigenvalues of Siegel cusp forms of degree two
International Journal of Number Theory ( IF 0.5 ) Pub Date : 2021-07-06 , DOI: 10.1142/s1793042122500026
Guohua Chen 1 , Weiping Li 2
Affiliation  

Let F and G be Siegel cusp forms for the group Sp4() with weights k1, k2, respectively. Suppose that neither F nor G is a Saito–Kurokawa lift. Further suppose that F and G are Hecke eigenforms lying in distinct eigenspaces. In this paper, we investigate simultaneous arithmetic behavior and related problems of Hecke eigenvalues of these Hecke eigenforms, some of which improve upon results of Gun et al.

中文翻译:

关于二阶 Siegel 尖点形式的 Hecke 特征值的算术行为的注解

FG成为该组的 Siegel 尖点形式Sp4()带重物ķ1,ķ2, 分别。假设既不F也不G是斋藤黑川缆车。进一步假设FG是位于不同特征空间中的 Hecke 特征型。在本文中,我们研究了这些 Hecke 特征型的 Hecke 特征值的同时算术行为和相关问题,其中一些改进了 Gun 的结果等。
更新日期:2021-07-06
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