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

共 20 条

[11] Redmond D., 1996, Number Theory: An Introduction
[12] Sangam B.R, 2020, Ann. Pure Appl. Math., V22, P7
[13] Sroysang B., 2014, Int. J. Pure Appl. Math, V92, P109
[14] Sroysang B., 2014, Int. J. Pure Appl. Math., V91, P537
[15] Tadee S, 2023, Ann. Pure Appl. Math., V27, P19
[16] Tadee S., 2022, Ann. Pure Appl. Math., V26, P125
[17] Non-existence of Positive Integer Solutions of the Diophantine Equation px
Tadee, Suton
Siraworakun, Apirat
[J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (02): : 724 - 735
[18] Tangjai W, 2022, INT J MATH COMPUT SC, V17, P1483
[19] Thongnak S, 2021, Ann. Pure Appl. Math., V23, P111
[20] Thongnak S, 2022, Ann. Pure Appl. Math., V25, P51

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