SOLUTIONS OF A GENERALIZED MARKOFF EQUATION IN FIBONACCI NUMBERS

被引：3
|
作者：
Hashim, Hayder Raheem [1 ]
Tengely, Szabolcs [1 ]
机构：
[1] Univ Debrecen, Inst Math, POB 400, H-4002 Debrecen, Hungary
来源：
MATHEMATICA SLOVACA | 2020年 / 70卷 / 05期
关键词：
Lucas sequences; Diophantine equations; Markoff equation;
D O I：
10.1515/ms-2017-0414
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we find all the solutions (X, Y, Z) = (F-I, F-J, F-K), where F-I, F-J, and F-K represent nonzero Fibonacci numbers, satisfying a generalization of Markoff equation called the Jin-Schmidt equation: AX(2) + BY2 + CZ(2) = DXYZ + 1. (C) 2020 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：1069 / 1078
页数：10
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