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Solutions of the equation x2-(p2 q2 ± ap)y2=kt

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  • Amara Chandoul
  • Alanod Sibih

Abstract

In this note, the Diophantine equation x2-(p2 q2 ± ap)y2=kt has been solved, and its positive integer solutions have been stated in terms of generalized Fibonacci, generalized Lucas, generalized Pell, and generalized Pell-Lucas sequences. We have discovered units for Z[D] in terms of the above sequences of numbers.

Suggested Citation

  • Amara Chandoul & Alanod Sibih, 2024. "Solutions of the equation x2-(p2 q2 ± ap)y2=kt," Edelweiss Applied Science and Technology, Learning Gate, vol. 8(6), pages 4408-4414.
    • Handle: RePEc:ajp:edwast:v:8:y:2024:i:6:p:4408-4414:id:2965
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