Diophantine Equations Related with Linear Binary Recurrences

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KILIÇ E., AKKUŞ İ., ÖMÜR N.

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, vol.17, no.1, pp.11-26, 2022 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 17 Issue: 1
• Publication Date: 2022
• Doi Number: 10.52547/ijmsi.17.1.11
• Journal Name: IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Page Numbers: pp.11-26
• Keywords: Linear recurrences, Generalized Fibonacci and Lucas sequences, Diophantine equations, Continued fractions, FIBONACCI, SEQUENCE
• Open Archive Collection: AVESIS Open Access Collection
• Kocaeli University Affiliated: Yes

Abstract

In this paper we find all solutions of four kinds of the Dio-phantine equations