Positive Integer Solutions of Certain Diophantine Equations Involving Lucas-Balancing numbers
Patra, Asim
Original · EN
In this article the Diophantine equations of the form x²-8Cₙxy+ 16y²=±2ʳ, x⁴-8Cₙx²y+ 16y²=±2ʳ and x²-8Cₙxy²+ 16y⁴=±2ʳ are taken into consideration for the investigations of existence of any positive integer solutions. Furthermore, the solutions are manifested in terms of the balancing, Pell and Lucas-Pell numbers.
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