Diophantine Equations Related with Linear Binary Recurrences

Creative Commons License

KILIÇ E., AKKUŞ İ., ÖMÜR N.

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

  • 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
  • Kocaeli University Affiliated: Yes

Abstract

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