A note on Fourier-Jacobi coefficients of Siegel modular forms

被引：0
|
作者：
Sanoli Gun
Narasimha Kumar
机构：
[1] Institute of Mathematical Sciences,Indian Institute of Technology Hyderabad
[2] C.I.T Campus,undefined
[3] Ordnance Factory Estate,undefined
来源：
Archiv der Mathematik | 2013年 / 101卷
关键词：
Primary 11F46; 11F50; Secondary 11F30; Siegel cusp forms; Fourier-Jacobi coefficients; Petersson norms;
D O I：
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学科分类号：
摘要：
Let F be a Siegel cusp form of weight k and genus n >  1 with Fourier-Jacobi coefficients fm. In this article, we estimate the growth of the Petersson norms of fm, where m runs over an arithmetic progression. This result sharpens a recent result of Kohnen [5].
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页码：519 / 524
页数：5
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