Cuspidality and the growth of Fourier coefficients: small weights

被引：3
|
作者：
Boecherer, Siegfried [1 ]
Das, Soumya [2 ]
机构：
[1] Univ Mannheim, Inst Math, D-68131 Mannheim, Germany
[2] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
来源：
MATHEMATISCHE ZEITSCHRIFT | 2016年 / 283卷 / 1-2期
关键词：
Small weights; Siegel modular forms; Growth of Fourier coefficients; Hecke bound; SIEGEL CUSP FORMS; SERIES;
D O I：
10.1007/s00209-015-1609-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize Siegel cusp forms in the space of Siegel modular forms of small weight on the congruence subgroups of any degree n and any level N, by a suitable growth of their Fourier coefficients (e.g., by the well known Hecke bound) at any one of the cusps. For this, we use the formalism of Jacobi forms and the 'Witt-operator' on modular forms.
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页码：539 / 553
页数：15
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