Positive integer solutions of some Diophantine equations in terms of integer sequences

被引：4

作者：

Keskin, Refik ^{[1
]}

Siar, Zafer ^{[2
]}

机构：

[1] Sakarya Univ, Dept Math, Sakarya, Turkey

[2] Bingol Univ, Dept Math, Bingol, Turkey

来源：

AFRIKA MATEMATIKA | 2019年 / 30卷 / 1-2期

关键词：

Generalized Fibonacci and Lucas numbers; Pell equation; Diophantine equation; Balancing and cobalancing numbers;

D O I：

10.1007/s13370-018-0632-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define some new number sequences, which we represent as (B-n), (b(n)), (y(n)) and present relations of these new sequences with each other. Then, we give all positive integer solutions of some Diophantine equations in terms of these new sequences.

引用

页码：181 / 194

页数：14

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