On the number of representations of integers by quadratic forms with congruence conditions

被引：3

作者：

Cho, Bumkyu ^{[1
]}

机构：

[1] Dongguk Univ Seoul, Dept Math, 30 Pildong Ro 1 Gil, Seoul 04620, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 462卷 / 01期

关键词：

Representation numbers; Quadratic forms; Modular forms;

D O I：

10.1016/j.jmaa.2017.12.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The generating functions of the number of representations of integers by quadratic forms under congruence conditions on the variables will be characterized in terms of modular forms. According to this characterization we present several formulas for the representation numbers as examples. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：999 / 1013

页数：15

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