On the Diophantine equation ax

被引：0

作者：

Viriyapong, Chokchai ^{[1
]}

Viriyapong, Nongluk ^{[1
]}

机构：

[1] Mahasarakham Univ, Dept Math, Math & Appl Math Res Unit, Maha Sarakham 44150, Thailand

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2024年 / 19卷 / 02期

关键词：

Diophantine equation; 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 article, we show that the Diophantine equation ax + (a + 2)y = z2 has no non-negative integer solution where a is an element of Z+ such that a -28 19.

引用

页码：449 / 451

页数：3

共 50 条

[41] ON A CLASS OF SOLUTIONS FOR A QUADRATIC DIOPHANTINE EQUATION [J].

Somanath, Manju ;

Raja, K. ;

Kannan, J. ;

Mahalakshmi, M. .

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2020, 19 (11) :1097-1103

[42] Disaggregation of Diophantine Equation with Boolean Variables [J].

Sahib S. Mardanov ;

Knyaz Sh. Mamedov .

Computational Optimization and Applications, 2004, 27 :31-36

[43] On a Diophantine equation with four prime variables [J].

Huang, Jing ;

Zhai, Wenguang ;

Zhang, Deyu .

AIMS MATHEMATICS, 2025, 10 (06) :14488-14501

[44] On the Diophantine equation X4 [J].

Alavi, S. D. ;

Janfada, A. S. ;

Abbaspour, A. .

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (42) :324-329

[45] On the Diophantine equation (kn) = (lm) + d [J].

Gallegos-Ruiz, H. R. ;

Katsipis, N. ;

Tengely, Sz. ;

Ulas, M. .

JOURNAL OF NUMBER THEORY, 2020, 208 :418-440

[46] On the Diophantine equation 6x [J].

Tadee, Suton ;

Thaneepoon, Nuanchuen .

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2023, 18 (04) :737-741

[47] EXPONENTIAL DIOPHANTINE EQUATION IN THREE UNKNOWNS [J].

Somanath, Manju ;

Raja, K. ;

Kannan, J. ;

Nivetha, S. .

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2020, 19 (11) :1113-1118

[48] On the Diophantine Equation 3x [J].

Srimud, Kulprapa ;

Tadee, Suton .

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2023, 18 (01) :137-142

[49] ON SOLVING A BINARY QUADRATIC DIOPHANTINE EQUATION [J].

Matthews, Keith R. ;

Robertson, John P. .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021, 51 (04) :1369-1385

[50] On the Diophantine equation 63x [J].

Viriyapong, Chokchai ;

Puiwong, Jenjira .

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2025, 20 (01) :419-421

← 1 2 3 4 5 →