Abstract

In the present paper, we have solved the equation x2−(p2q2±3p)y2=kt,x2−(p2q2±5p)y2=kt and expressed its positive integer solutions in terms of generalized Fibonacci, generalized Lucas and generalized Pell, generalized Pell–Lucas sequences. With the help of this equation, we have found units of Z[885] and Z[915] in terms of generalized Fibonacci, generalized Lucas, generalized Pell and generalized Pell–Lucas numbers.

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