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.
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页码：389 / 395
页数：7
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