Positive integer solutions of the diophantine equations x2-5Fnxy-5(-1)ny2=±5r

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Keskin R., Karaatli O., ŞİAR Z.

Miskolc Mathematical Notes, cilt.14, sa.3, ss.959-972, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.18514/mmn.2013.568
  • Dergi Adı: Miskolc Mathematical Notes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.959-972
  • Anahtar Kelimeler: Diophantine equations, Fibonacci numbers, Lucas numbers
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

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.