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

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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 \(\mathbb{F}_{p}\) for primes p≥5.
Diophantine equation Pell equation 

Mathematics Subject Classification (2000)

11D09 11D41 11D45 

Copyright information

© The Author(s) 2009

Authors and Affiliations

  1. 1.Faculty of Science, Department of MathematicsUludag UniversityGörükleTurkey

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