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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
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 Sp 4 ( ℤ ) with weights k 1 , k 2 , 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
让F 和G 成为该组的 Siegel 尖点形式Sp 4 ( ℤ ) 带重物ķ 1 ,ķ 2 , 分别。假设既不F 也不G 是斋藤黑川缆车。进一步假设F 和G 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
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
让