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

[1] On the Diophantine Equation ax
Pakapongpun, Apisit
Chattae, Bunthita
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (02): : 711 - 716
[2] On the Diophantine Equation ax
Dokchan, Rakporn
Panngam, Nopparat
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2025, 20 (01): : 63 - 66
[3] On the Diophantine equation ax
Viriyapong, Chokchai
Viriyapong, Nongluk
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2023, 18 (03): : 525 - 527
[4] ON THE DIOPHANTINE EQUATION ax(3)
Subburam, Sivanarayanapandian
Thangadurai, Ravindrananathan
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2015, 53 (01) : 167 - 175
[5] The Diophantine Equation ax(6)
Izadi, Farzali
Khoshnam, Foad
KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (03): : 587 - 595
[6] ON THE DIOPHANTINE EQUATION AX + BY = CZ
SUN, Q
SUN, C
ZHOU, XM
KEXUE TONGBAO, 1984, 29 (09): : 1272 - 1272
[7] A NOTE ON THE DIOPHANTINE EQUATION |ax - by| = c
He, Bo
Togbe, Alain
Yang, Shichun
MATHEMATICA SCANDINAVICA, 2010, 107 (02) : 161 - 173
[8] ON THE DIOPHANTINE EQUATION ax + by = (a+2)z
Miyazaki, T.
Togbe, A.
Yuan, P.
ACTA MATHEMATICA HUNGARICA, 2016, 149 (01) : 1 - 9
[9] ON THE DIOPHANTINE EQUATION AX(2)-BY(2)=C
GRELAK, A
GRYTCZUK, A
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1994, 44 (3-4): : 291 - 299
[10] A note on the exponential diophantine equation ax + by = cz
Le, M
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2004, 80 (04) : 21 - 23

← 1 2 3 4 5 →