Representations of Positive Integers by Positive Quadratic Forms

被引：0

作者：

Tekcan, Ahmet ^{[1
]}

Ozkoc, Arzu ^{[1
]}

Gezer, Betul ^{[1
]}

Bizim, Osman ^{[1
]}

机构：

[1] Uludag Univ, Fac Sci, Dept Math, TR-16059 Bursa, Turkey

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2011年 / 35卷 / 01期

关键词：

Representations of positive integers by positive definite quadratic forms; Generalized theta series; Eisenstein series; Cusp form;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we consider the representations of positive integers by quadratic forms F-1 = x(1)(2) + x(1)x(2) + 8x(2)(2) and G(1) = 2x(1)(2) + x(1)x(2) + 4x(2)(2) of discriminant 31 and we obtain some results concerning the modular forms (sci) (T; F, phi(tau s)). Moreover we construct a basis for the cusp form space S-4 (Gamma(0) (31), 1), and then we give some formulas for the number of representations of positive integer n by positive definite quadratic forms.

引用

页码：137 / 148

页数：12