期刊论文

Zargar, Arman Shamsi

英文

COLLOQUIUM MATHEMATICUM

0010-1354

2019

158

1

119-126

10.4064/cm7528-10-2018

Acknowledgements. This research was supported by the National Natural Science Foundation of China (Grant No. 11501052), Younger Teacher Development Program of Changsha University of Science and Technology (Grant No. 2019QJCZ051), and Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science and Technology).

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We investigate the non-trivial rational parametric solutions of the Diophantine equation f(x)f(y) - f(z)n, where f = xk +axk-1 + b/x, k ≥ 2, x2 +a/x+b/x2 for n = 1, and f = x2 +ax+b+a3/(27x), x2 +ax+b+a3/(16x)+a4/(256x2) for n = 2. © Ins...