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

Amara  Chandoul; Alanod  Sibih

doi:10.55214/25768484.v8i6.2965

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

Authors

Amara Chandoul Department of Computer Science A Multimedia, Higher Institute of Informatics A Multimedia of Sfax, Tunis Road, Km 10, Al −Ons, B. P. 242, 3021, Tunisia
Alanod Sibih Department of Mathematics, Jamoum University College, Umm Al −Qura University, Holly Makkah 21955, Saudi Arabia

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.

Section

How to Cite

Chandoul, A. ., & Sibih, A. . (2024). Solutions of the equation x2-(p2 q2 ± ap)y2=kt. Edelweiss Applied Science and Technology, 8(6), 4408–4414. https://doi.org/10.55214/25768484.v8i6.2965