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.

引用

页码：1430 / 1441

页数：12

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