Positive integer solutions of the diophantine equations x2-5Fnxy-5(-1)ny2=±5r
Miskolc Mathematical Notes, vol.14, no.3, pp.959-972, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 14 Issue: 3
- Publication Date: 2013
- Doi Number: 10.18514/mmn.2013.568
- Journal Name: Miskolc Mathematical Notes
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.959-972
- Keywords: Diophantine equations, Fibonacci numbers, Lucas numbers
- Open Archive Collection: AVESIS Open Access Collection
- Bilecik Şeyh Edebali University Affiliated: Yes
Abstract
In this study, we consider the Diophantine equations given in the title and determine when these equations have positive integer solutions. Moreover, we find all positive integer solutions of them in terms of Fibonacci and Lucas numbers. ©2013 Miskolc University Press.