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

页码：1069 / 1078

页数：10

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