Non-vanishing of Hilbert Poincare series

被引：0
|
作者：
Kumari, Moni [1 ]
机构：
[1] Natl Inst Sci Educ & Res, HBNI, Via Jatni, Khurja 752050, Odisha, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 02期
关键词：
Hilbert modular forms; Poincare series; Non-vanishing;
D O I：
10.1016/j.jmaa.2018.06.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove some non-vanishing results of Hilbert Poincare series. We derive these results, by showing that the Fourier coefficients of Hilbert Poincare series satisfy some nice orthogonality relations for sufficiently large weight as well as for sufficiently large level. To prove later results, we generalize a method of E. Kowalski et al. (C) 2018 Elsevier Inc. All rights reserved.
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页码：1476 / 1485
页数：10
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