文献类型：期刊文献

英文题名：A note on arithmetic behavior of Hecke eigenvalues of Siegel cusp forms of degree two

作者：Chen, Guohua[1];Li, Weiping[2]

第一作者：Chen, Guohua

通讯作者：Chen, GH[1]

机构：[1]North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China;[2]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China

第一机构：North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China

通讯机构：[1]corresponding author), North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China.

年份：2022

卷号：18

期号：01

起止页码：9-18

外文期刊名：INTERNATIONAL JOURNAL OF NUMBER THEORY

收录：;Scopus(收录号：2-s2.0-85109824838);WOS:【SCI-EXPANDED(收录号:WOS:000746234000002)】；

基金：The authors would like to thank Professor Lau Yuk-Kam for drawing our attention to this problem, and to the referee for a careful reading of the paper. G. Chen is supported by Key Scientific Research Projects Plan of Henan Higher Education Institutions (20A110025), and the Natural Science Foundation of Henan Province (Grant No. 212300410195). W. Li is supported by the National Natural Science Foundation of China (Grant No. 11371122), the Key Scientific Research Projects Plan of Henan Higher Education Institutions (19A110001), 2016 Young Talents Fund of HUEL, and the Natural Science Foundation of Henan Province (Grant No. 202300410031). The authors are in part supported by the National Natural Science Foundation of China (Grant No. 12071132).

语种：英文

外文关键词：Siegel modular forms; Hecke eigenvalues; B-free numbers

摘要：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.