ON THE MONOID OF MONIC BINARY QUADRATIC FORMS

被引：0

作者：

Dimabayao, Jerome T. ^{[1
]}

Ponomarenko, Vadim ^{[2
]}

Tigas, Orland James Q. ^{[1
]}

机构：

[1] Univ Philippines Diliman, Coll Sci, Inst Math, CP Garcia St,UP Campus, Quezon City 1101, Philippines

[2] San Diego State Univ, Dept Math & Stat, 5500 Campanile Dr, San Diego, CA 92182 USA

来源：

MISKOLC MATHEMATICAL NOTES | 2019年 / 20卷 / 02期

关键词：

binary quadratic form; law of quadratic reciprocity; prime number;

D O I：

10.18514/MMN.2019.2920

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the quadratic form x(2) + mxy + ny(2), where vertical bar m(2) - 4n vertical bar is a prime number. Under the assumption that a particular, small, finite set of integers is representable, we determine all integers representable by this quadratic form.

引用

页码：863 / 871

页数：9

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