Linear relations of theta series of genera of quadratic forms

被引：0
|
作者：
Choie, Y. [1 ]
Chung, Y. [1 ]
机构：
[1] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 02期
关键词：
genus theta series; Eisenstein space;
D O I：
10.1016/j.jmaa.2006.02.070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study linear relations among theta series of genera of positive definite n-ary quadratic forms with given level D, 2D, 4D and 8D for square free D. We obtain a basis for the space generated by genus theta series. This forms a basis of Eisenstein space. (c) 2006 Elsevier Inc. All rights reserved.In this paper we study linear relations among theta series of genera of positive definite n-ary quadratic forms with given level D, 2D, 4D and 8D for square free D. We obtain a basis for the space generated by genus theta series. This forms a basis of Eisenstein space. (c) 2006 Elsevier Inc. All rights reserved.
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页码：1430 / 1441
页数：12
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