ON THE DIOPHANTINE EQUATION f(x) f(y) = f(z)n INVOLVING LAURENT POLYNOMIALS, II

被引：4
作者：
Zhang, Yong [1 ]
Zargar, Arman Shamsi [2 ]
机构：
[1] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China
[2] Univ Mohaghegh Ardabili, Dept Math & Applicat, Fac Sci, Ardebil 5619911367, Iran
来源：
COLLOQUIUM MATHEMATICUM | 2019年 / 158卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Diophantine equation; Laurent polynomial; rational parametric solution; X F Y; (X(K)-1)(Y(K)-1); PRODUCTS;
D O I：
10.4064/cm7528-10-2018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the non-trivial rational parametric solutions of the Diophantine equation f(x) f(y) = f(z)(n), where f = x(k) +ax(k-1) + b/x, k >= 2, x(2)+a / x+b/x(2) for n = 1, and f = x(2)+ax+b+a(3)/(27x), x(2)+ax+b +a(3)/(16x)+a(4)/(256x(2)) for n = 2.
引用
收藏
页码：119 / 126
页数：8
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