On the Diophantine Equations qx + p(2q + 1)y = z2 and qx

被引：0

作者：

Phosri, Piyada ^{[1
]}

Tadee, Suton ^{[1
]}

机构：

[1] Thepsatri Rajabhat Univ, Fac Sci & Technol, Dept Math, Lopburi 15000, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2024年 / 22卷 / 02期

关键词：

Diophantine equation; Legendre symbol; congruence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using basic concepts of number theory, we present some conditions of the non-existence of non-negative integer solutions (x, y, z) for the Diophantine equations q(x) + p(2q + 1)(y) = z(2) and q(x) + p (4q + 1)(y) = z(2), where p and q are prime numbers.

引用

页码：389 / 395

页数：7

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