Publication: Quadratic diophantine equation x2 - (t2 - t)y2 - (4t - 2)x+(4t2 - 4t)y = 0
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Özkoç, Arzu
Tekcan, Ahmet
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Malaysian Mathematical Sciences
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Abstract
Let t >= 2 be an integer. In this work, we consider the number of integer solutions of Diophantine equation D : x(2) - (t(2) - t)y(2) - (4t - 2)x + (4t(2) - 4t)y = 0 over Z. We also derive some recurrence relations on the integer solutions (x(n), y(n)) of D. In the last, section, we consider the same problem over finite fields F-p for primes p >= 5.
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Keywords
Diophantine equation, Pell equation, Mathematics
Citation
Özkoç, A. ve Tekcan, A. (2010). "Quadratic diophantine equation x2 - (t2 - t)y2 - (4t - 2)x+(4t2 - 4t)y = 0". Bulletin of the Malaysian Mathematical Sciences Society, 33(2), 273-280.