Binary quadratic forms represented by a sum of nonzero squares

被引：4

作者：

Ji, Yun-Seong ^{[1
]}

Kim, Myung-Hwan ^{[1
]}

Oh, Byeong-Kweon ^{[1
,2
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 148卷

基金：

新加坡国家研究基金会;

关键词：

Sum of nonzero squares; Binary quadratic forms;

D O I：

10.1016/j.jnt.2014.09.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1911, Dubouis determined all positive integers that are represented by a sum of k positive squares for any k >= 4. In this article, we generalize Dubouis' result to the binary case. We determine all binary forms that are represented by a sum of k nonzero squares for any k >= 5. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：257 / 271

页数：15

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