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

Amara Chandoul () and Alanod Sibih ()

Edelweiss Applied Science and Technology, 2024, vol. 8, issue 6, 4408-4414

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.

Keywords: Diophantine equations; Generalized Fibonacci numbers; Generalized Lucas numbers; Generalized Pell numbers; Generalized Pell–Lucas numbers; Pell equations. (search for similar items in EconPapers)
Date: 2024
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