Comparing Hecke eigenvalues of Siegel eigenforms

被引：0
作者：
Kumari, Moni [1 ]
机构：
[1] Indian Inst Technol Jodhpur, Dept Math, NH 65 Nagaur Rd, Karwar 342037, Rajasthan, India
来源：
FORUM MATHEMATICUM | 2023年 / 35卷 / 01期
关键词：
Siegel eigenforms; comparing Hecke eigenvalues; density results; simultaneous sign change; COEFFICIENTS; NUMBER; FORMS;
D O I：
10.1515/forum-2021-0319
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article deals with various kinds of quantitative results about the comparison between the normalized Hecke eigenvalues of two distinct Siegel cuspidal Hecke eigenforms for the full symplectic group of degree 2 which are not Saito-Kurokawa lifts. We also prove some simultaneous sign change results for their eigenvalues.
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页码：83 / 93
页数：11
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