On ternary biquadratic Diophantine equation 11(x2 - y2)

被引：0
作者：
Vidhyalakshmi, S. [1 ]
Gopalan, M. A. [1 ]
Thangam, S. A. [1 ]
Ozer, O. [2 ]
机构：
[1] Shrimati Indira Gandhi Coll, Dept Math, Tiruchirappalli 620002, Tamil Nadu, India
[2] Kirklareli Univ, Fac Sci & Arts, Dept Math, TR-39100 Kirklareli, Turkey
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2019年 / 25卷 / 03期
关键词：
Ternary bi-quadratic; Integer solutions; Pell equations;
D O I：
10.7546/nntdm.2019.25.3.65-71
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain infinitely many non-zero integer triples (x, y, z) satisfying the non- homogeneous bi-quadratic equation with three unknowns 11(x(2) - y(2)) + 3(x+ y) = 10z(4). Various interesting properties among the values of x, y, z are presented. Some relations between the solutions and special numbers are exhibited.
引用
收藏
页码：65 / 71
页数：7
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