Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift

被引：0

作者：

Ikeda, Tamotsu ^{[3
]}

Katsurada, Hidenori ^{[1
,2
]}

机构：

[1] Hokkaido Univ, Dept Math, Kita 10,Nishi 8,Kita Ku, Sapporo 0600810, Japan

[2] Muroran Inst Technol, 27-1 Mizumoto, Muroran, Hokkaido 0508585, Japan

[3] Kyoto Univ, Grad Sch Math, Kitashirakawa, Kyoto 6068502, Japan

来源：

FORUM MATHEMATICUM | 2023年 / 35卷 / 04期

关键词：

Fourier coefficient; Duke-Imamoglu-Ikeda lift; Siegel series; SIEGEL CUSP FORMS; QUADRATIC FORM; MODULAR-FORMS;

D O I：

10.1515/forum-2022-0197

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k and n be positive even integers. For a Hecke eigenform h in the Kohnen plus subspace of weight k -n/2 + 1/2 for G(0)(4), let I-n(h) be the Duke-Imamoglu-Ikeda lift of h to the space of cusp forms of weight k for Sp(n)(Z). We then give an estimate of the Fourier coefficients of I-n(h). It is better than the usual Hecke bound for the Fourier coefficients of a Siegel cusp form.

引用

页码：975 / 990

页数：16

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