A Generalised Balancing Sequence and Solutions of Diophantine Equations x2± pxy

被引：0
|
作者：
Kameswari, P. Anuradha [1 ]
Anoosha, K. [1 ]
机构：
[1] Andhra Univ, Dept Math, Visakhapatnam, Andhra Pradesh, India
来源：
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2022年 / 13卷 / 01期
关键词：
Diophantine equation; Balancing sequences;
D O I：
10.26713/cma.v13i1.1698
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a generalization of balancing sequences and investigate some properties of the generalised balancing sequences in this paper. For a positive integer p we solve for the Diophantine equations, x(2) +/- pxy + y(2) +/- x = 0 and express its solutions in terms of generalised balancing sequences.
引用
收藏
页码：253 / 263
页数：11
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