The Diophantine equation x2 - (t2 + t)y2 - (4t + 2)x + (4t2 + 4t)y = 0

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Date

2010-01

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Springer-Verlag

Abstract

Let t >= 1 be an integer. In this work, we consider the number of integer solutions of Diophantine equation x(2) - (t(2) + t)y(2) - (4t + 2)x + (4t(2) + 4t)y = 0 over Z and also over finite fields F-p for primes p >= 5.

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Keywords

Diophantine equation, Pell equation, Mathematics

Citation

Tekcan, A. ve Özkoç, A. (2010). "The Diophantine equation x2 - (t2 + t)y2 - (4t + 2)x + (4t2 + 4t)y = 0". Revista Matematica Complutense, 23(1), 251-260.