A note on Fourier-Jacobi coefficients of Siegel modular forms

被引：4

作者：

Gun, Sanoli ^{[1
]}

Kumar, Narasimha ^{[2
]}

机构：

[1] Inst Math Sci, Chennai 600113, Tamil Nadu, India

[2] Indian Inst Technol Hyderabad, Yeddumailaram 502205, India

来源：

ARCHIV DER MATHEMATIK | 2013年 / 101卷 / 06期

关键词：

Siegel cusp forms; Fourier-Jacobi coefficients; Petersson norms; DIRICHLET SERIES; CUSP FORMS;

D O I：

10.1007/s00013-013-0586-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a Siegel cusp form of weight k and genus n > 1 with Fourier-Jacobi coefficients f (m) . In this article, we estimate the growth of the Petersson norms of f (m) , where m runs over an arithmetic progression. This result sharpens a recent result of Kohnen [5].

引用

页码：519 / 524

页数：6

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